arXiv subjects

Jorge Gamboa

Publications and source records attributed to Jorge Gamboa.

At least 19 recordsLinked to original sources

arXiv2026

Quantum Gravity Beyond the Bulk

We propose an infrared and asymptotic formulation of quantum gravity adapted to external observers. In an asymptotic proper-time gauge, the physical generator of evolution reduces to the Regge--Teitelboim boundary charge, so that quantum dynamics is governed by infrared gravitational configurations at spatial infinity. In the weak-field regime this leads naturally to a Born--Oppenheimer separation between slow asymptotic data and fast bulk fluctuations. Integrating out the latter induces a Berry connection on the space of admissible configurations, whose holonomy characterizes infrared-dressed gravitational states. Observable evolution is then governed by an infrared effective Hamiltonian obtained after integrating out fast bulk fluctuations, with the geometric (Berry) contribution entering as part of the resulting evolution operator on the space of asymptotic configurations. Tracing over unresolvable degrees of freedom induces a reduced density matrix whose entropy is dominated by global infrared holonomy sectors rather than local bulk dynamics.

gr-qc↗

arXiv2026

Asymptotic Quantum Gravity as an Infrared Geometric Theory

We formulate the infrared sector of asymptotically flat quantum gravity in terms of asymptotic configurations accessible to external observers. Starting from the Regge-Teitelboim Hamiltonian that generates physical evolution in the presence of gravitational constraints, we perform a Born-Oppenheimer reduction separating slow asymptotic data from fast bulk gravitational fluctuations. We show that integrating out the fast sector induces a functional Berry connection over the space of asymptotic charges, so that the effective infrared dynamics is governed by parallel transport on this charge space. In this framework, infrared gravitational states are naturally organized into superselection sectors labelled by the holonomy of the induced connection, and the reduced density matrix obtained after tracing over ultraviolet bulk modes acquires a geometric contribution. This provides an effective geometric description of the asymptotic quantum gravitational sector, where quantization arises as a global consistency condition under adiabatic transport rather than as a spectral property of local bulk operators.

hep-th↗

arXiv2026

Infrared Dressing and the Strong CP Problem: Geometric Renormalization of the Vacuum Angle

We revisit the strong CP problem from the viewpoint of the infrared structure of non-Abelian gauge theories. In Yang-Mills theory, motion between topologically inequivalent vacua may be described in terms of a compact collective coordinate associated with the Chern-Simons number. Implementing an adiabatic separation between slow topological modes and fast gluonic fluctuations leads to a reduced Born-Oppenheimer Hamiltonian governing the infrared dynamics. We show that the physical parameter entering this reduced Hamiltonian is not the bare vacuum angle $\theta$, but an effective holonomy $\theta_{\rm eff}$ that includes a Berry phase induced by the fast gluonic sector. The induced holonomy becomes a self-consistent response function of the infrared dressing, leading to a nonperturbative renormalization group flow for $\theta_{\rm eff}$. This infrared flow admits CP-invariant fixed points toward which the effective vacuum angle is dynamically driven in the infrared limit. In this framework, CP violation is not forbidden by the fundamental theory but becomes dynamically suppressed along the infrared flow generated by adiabatic dressing. The strong CP problem is thus realized as a nonperturbative infrared relaxation mechanism governed by the Berry response of the fast gluonic sector, without the introduction of additional dynamical fields.

hep-th↗

arXiv2026

Non-Abelian Recoil Geometry and Infrared Holonomies in Heavy-Quark Transitions

We propose a geometric formulation of heavy-quark transitions in which infrared-dressed states are adiabatically transported in the multidimensional recoil space and acquire Berry holonomies. Within this framework, single-step decays are governed by an abelian geometric phase and reproduce the standard Isgur-Wise behaviour, while sequential decays probe genuinely non-Abelian holonomies associated with a two-dimensional recoil space. The resulting geometric structure correlates different decay channels and provides a unified interpretation of mixing effects and quasi-degenerate states in heavy-quark phenomenology. This approach suggests that several long-standing puzzles arise as geometric consequences of infrared dressing rather than as accidental features of the microscopic dynamics.

hep-ph↗

arXiv2026

A Geometric Interpretation of Heavy-Quark Transitions and the Emergent SU(2) Structure

We propose a geometric interpretation of heavy-light mesons in which their infrared dressing is described through adiabatic Berry holonomies on the functional space of gauge configurations. Within this framework the Berry curvature associated with the infrared cloud carries a quantized functional flux, providing a simple and structural origin for the exponential form of the Isgur-Wise function in single-recoil transitions. Sequential processes such as $B \rightarrow D^{**} \rightarrow D$ probe two independent recoil directions and explore a two-dimensional region of the adiabatic manifold. In this setting the quantized flux naturally leads to a minimal non-Abelian structure which can be described effectively by an SU(2) holonomy. Heavy-quark form factors then appear as channel-dependent projections of two universal geometric modes, giving rise to correlated slopes, non-factorizable curvature in the $(w_{1},w_{2})$ plane, and characteristic angular patterns. These features are consistent with the symmetry structure of HQET while providing additional correlations among excited channels. The resulting framework offers a complementary viewpoint on heavy-quark phenomenology and suggests several experimentally testable signatures in multi-step semileptonic transitions.

hep-ph↗

arXiv2025

Strong CP as an Infrared Holonomy: The $\theta$ Vacuum and Dressing in Yang-Mills Theory

We reformulate the strong $CP$ problem from an infrared viewpoint in which the vacuum angle $\theta$ is not treated as a local coupling but as a global Berry-type holonomy of the infrared-dressed state space over $\mathcal{A}/\mathcal{G}$. Infrared dressing is described as adiabatic parallel transport of physical states in configuration space, generated by an infrared connection $\mathcal{A}_{\rm IR}$. Using the Chern-Simons collective coordinate, we show that the Pontryagin index emerges as an integer infrared winding, such that the resulting holonomy phase is quantized by $Q\in\mathbb Z$ and reproduces the standard weight $e^{i\theta Q}$. A quantum rotor provides a controlled infrared example illustrating why broad classes of local correlators may remain insensitive to $\theta$, while global response functions, such as the vacuum energy curvature and the topological susceptibility, retain a nontrivial dependence. We contrast this picture with recent claims of $\theta$--independence based on the order of limits and show that it is consistent with both the rotor benchmark and the classic Witten-Veneziano perspective.

hep-th↗

arXiv2025

Infrared Quantum Electrodynamics and the Rayleigh-Jeans Physics

Infrared quantum electrodynamics (IR-QED) acquires a natural geometric interpretation once soft photons are described as adiabatically transported electron-photon clouds. Within this framework, the relevant infrared structure is encoded in a functional Berry phase associated with the space of gauge connections, and the corresponding Berry corrections modify the Rayleigh-Jeans spectrum. The infrared scaling symmetry of the Rayleigh-Jeans law leads to a simple renormalization-group equation whose solution determines the frequency dependence of an effective factor $F_{\rm eff}(\omega)$ controlling the strength of the electron-photon cloud dressing. As a result, the energy density of the cosmic microwave background (CMB) receives a Berry-induced correction that scales as a power law and produces a frequency-dependent temperature excess in the radio domain. Although the exponent $\gamma$ governing this scaling behaviour is not fixed internally by the present formulation of IR-QED and must instead be determined phenomenologically, the existence and structure of the excess are genuine predictions of the theory. Remarkably, the resulting expression is extremely simple and naturally aligns with the deviations suggested by the ARCADE 2 data. Taken together, these results indicate that Berry phases in IR-QED may lead to observable consequences in the low-frequency tail of the CMB spectrum.

hep-th↗

arXiv2025

Entanglement and Effective Field Theories

We investigate the emergence of geometric phases in chiral transformations within gauge theories coupled to fermions. We begin by analyzing the Schwinger model in (1+1) dimensions, where chiral symmetry is explicitly modified due to the dynamical generation of a photon mass. This model provides a controlled setting to study the interplay between anomalies and vacuum structure. Building on these insights, we extend our analysis to four-dimensional QED by promoting the vacuum angle $\theta$ to a dynamical field $\theta(x)$. This generalization allows us to explore how the axial anomaly and the presence of a nontrivial vacuum structure modify the conventional chiral symmetry. Using the adiabatic approximation, we demonstrate that chiral transformations are modified by the emergence of a nontrivial Berry phase, which introduces a geometric correction that depends on the topological properties of the vacuum. This result suggests that chiral transformations acquire an effective gauge structure in parameter space, in the presence of a dynamical $\theta(x)$ field, leading to new physical consequences at low energies. This framework establishes a novel connection between chiral symmetries, anomalies, and geometric phases, offering a unified approach to describing topological effects, vacuum structure, and infrared modifications in gauge theories with fermions. Moreover, our results suggest that Berry phases play a crucial role in the infrared structure of QED, potentially providing a mechanism for regularizing infrared divergences in theories with axial anomalies.

hep-th↗

arXiv2023

Corrections of $Z'$ to the Magnetic Moment of the Muon

We go through several previous corrections and contributions to the muon $g-2$, starting from the dark photon hypothesis to the dark Z. We explore the inputs from a dark Z boson virtual mediator in a first order loop. We consider not only the QED like contributions in the theory but also weak interactions. We obtain a new factor that adds corrections to the form factor associated with the anomalous magnetic moment. We show our result is favorable in new unexplored windows in the mass-coupling parameter space.

hep-ph↗

arXiv2021

Non-Perturbative Aspects of Spontaneous Symmetry Breaking

Spontaneous symmetry breaking is studied in the ultralocal limit of a scalar quantum field theory, that is when $E\approx m$ (or infrared limit). In this limit we show that a $ φ^4$ theory in the euclidean space in four-dimensions describes naturally instantons. Furthermore, in the infrared limit we show that there is an exact map between $ φ^4$ with self-dual Yang-Mills theories. The spontaneous symmetry breaking in the infrared limit for a Higgs portal is also considered and we demonstrate how states of higher energy becomes unstable and spread converting a false vacuum in a true one.

hep-th↗

arXiv2020

Gravitons in the Strong-Coupling Regime

In the context of gravity in the strong-coupling regime, the propagation amplitude of gravity coupled to relativistic particles undergoing geodesic separation is calculated exactly. Geodesic separation gives rise to boundary terms associated with the h_\times and h_+ graviton components. At low temperatures the propagation amplitude vanishes, implying no graviton propagation in this regime.

hep-th↗

arXiv2019

Anapole Dark Matter Interactions as Soft Hidden Photons

We propose a model where the anapole appears as a hidden photon that is coupled to visible matter through a kinetic mixing. For low momentum $|{\bf p}| \ll M$ where $M$ is the cutoff the model (soft hidden photons limit) is reduced to the Ho-Scherrer description. We show that the hidden gauge boson is stable and therefore the hidden photons, indeed, are candidates for dark matter. Our approach shows that anapole and kinetic mixing terms are equivalent descriptions seen from different scales of energy.

hep-ph↗

arXiv2018

Birefringence and hidden photons

We study a model where photons interact with hidden photons and millicharged particles through a kinetic mixing term. Particularly, we focus in vacuum birefringence effects and we find a bound for the millicharged parameter assuming that hidden photons are a piece of the local dark matter density

hep-ph↗

arXiv2017

Testing Dark Matter with the Anomalous Magnetic Moment in Quantum Electrodynamics Model

We consider a model of dark quantum electrodynamics which is coupled with a visible photon through a kinetic mixing term. After checking of consistency properties, we compute the $g_w-2$, where $g_w$ is the gyromagnetic factor for a dark fermion. The $g_w-2$ and $g-2$ of quantum electrodynamics are related by the kinetic mixing factor. We analyse the $g_w-2$ in terms of the ratio $κ=m_γ/m_χ$ where $m_γ$ and $m_χ$ are the masses of the dark photon and the dark fermion and we discuss how light and heavy fermions become very different for $m_γ\leq10^{-5}\,$ eV. This analysis is also carried out using different available data.

hep-ph↗

arXiv2016

Photons and Dark Photons Through Breit-Wheeler Processes

A variant of quantum electrodynamics coupled to a dark photon through a kinetic mixing is studied. The analogous of the light-light diagram becomes the conversion process $γ'γ' \to γγ$ and an expression for the differential cross section is estimated. For high energies beams, as in LHC, this differential cross section could be measurable and its magnitude would be typically similar to the total cross section of neutrinos, {\it i.e.} $\sim 10^{-50}\,{\text{m}}^2$.

hep-ph↗

arXiv2016

Mixing of photons with light pseudoscalars in time-dependent magnetic fields

The effects of an external time-dependent magnetic field in the conversion probability of photon-to-axion-like particles are studied. Our findings show that for a certain time regime, the amplitude of the produced axion-like field can be enlarged with respect to the static case, thus, enhancing the probability of conversion.

hep-ph↗

arXiv2016

Parametric Resonance and Dark Matter Axion-Like Particles

We study the local effects of an external time-dependent magnetic field on axion-like particles assuming they are all the dark matter of the universe. We find that under suitable conditions the amplitude of the dark matter field can resonate parametrically. The resonance depends on the velocity of the axion-like particles and scales quadratically with the strength} of the external magnetic field, $\fracρ{ρ_{DM}} \sim {B_0}^3$. By considering typical experimental benchmark values, we find the resonance could amplify around two orders of magnitude the local energy density stored in the dark matter condensate.

hep-ph↗

arXiv2015

Extracting Hidden-Photon Dark Matter From an LC-Circuit

We point out that a cold dark matter condensate made of gauge bosons from an extra hidden U(1) sector - dubbed hidden- photons - can create a small, oscillating electric density current. Thus, they could also be searched for in the recently proposed LC-circuit setup conceived for axion cold dark matter search by Sikivie, Sullivan and Tanner. We estimate the sensitivity of this setup for hidden-photon cold dark matter and we find it could cover a sizable, so far unexplored parameter space.

hep-ph↗