arXiv subjects

Luis E. Oxman

Publications and source records attributed to Luis E. Oxman.

14 recordsLinked to original sources

arXiv2026

Dynamical Quarks in the Ensemble of Center Vortices with Monopole Defects: Color Confinement Beyond External Probes

We consider the interaction of dynamical quarks with the ensemble of oriented and nonoriented center vortices proposed to describe flux-tube formation between quark probes in pure Yang-Mills theory. The quark sector is described in terms of bosonized color currents. Within this fluid-like framework, the infrared vortex--monopole condensate restricts finite-energy configurations to be color neutral. Furthermore, neutral distributions of constituent color densities embedded in the condensate generate frustrated regions, providing a mechanism for their localization into finite-size configurations. The resulting picture is consistent with lattice evidence indicating that center vortices play a central role in shaping the hadron spectrum.

hep-th↗

arXiv2026

Cartan Fluxes in $SU(3)$ Lattice Gauge Theory

We propose and analyze a new method of detecting center vortices and monopoles in lattice Yang-Mills theory. This procedure is sensitive to the intrinsic degeneracy of the center charges, which play a crucial role in how these topological objects interact and correlate with one another. Our approach is based on fixing the Maximal Abelian gauge (MAG) and decomposing the link configuration in a suitable way to look for so-called Cartan fluxes, by projecting the gauge fields onto the Cartan subalgebra. The method directly assigns the detection of monopoles to the roots of the gauge group, allowing a clearer and more robust characterization of the Abelian-charge content of the gauge configuration. Our discussion is general for $SU(N)$ gauge theory, but we focus our applications on the $SU(3)$ case. For the $SU(2)$ case, our proposed parametrization is equivalent to the standard one. We present a numerical study of the monopole density in $SU(3)$ theory, obtained using our method. A sizable difference in the number of monopoles is found between our proposed method and the standard one. Also, we observe a Weyl-symmetric distribution of monopole charges.

hep-lat↗

arXiv2026

Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism

Lattice simulations and theoretical analyses consistently identify center vortices and monopoles as key nonperturbative configurations in Yang-Mills theory. In the continuum, the effective representation of mixed oriented and nonoriented center vortices showed that these degrees of freedom generate a confining flux tube with $N$-ality. Independently, studies of correlation functions reveal an infrared behavior characterized by massivelike scales. In this Letter, field correlators are computed for the first time in a theoretical framework based on center vortices. Using an Abelian-projected vacuum wave functional peaked on the mixed ensemble, we show the emergence of a massivelike gauge-invariant field strength correlator. For this behavior, the nonoriented component in the center-vortex condensate turns out to be essential, as is also the case for producing the correct properties of confining flux tubes.

hep-th↗

arXiv2025

Flux tube formation and the Weingarten representation of center vortices and chains

We review some recent results regarding the formulation of mixed ensembles of oriented and nonoriented center vortices based on the Weingarten representation for the sum over surfaces. This framework enabled a partition function for the Abelian-projected ensemble of vortex worldsurfaces, previously formulated as a wavefunctional peaked at center-vortex loops. In particular, we showed how an Abelian ensemble can account for $N$-ality while supporting a ``dual superconductor'' model for confinement. This formulation also clarified the description of the Goldstone modes for percolating surfaces with non-Abelian degrees of freedom, used in the original mechanism for the formation of a confining flux tube due to the percolating mixed ensemble.

hep-th↗

arXiv2025

Structure of center-vortex matter in SU(4) Yang-Mills theory

The structure of center vortices is studied in SU(4) Yang-Mills theory for the first time to illuminate the interplay between elementary (center charge $\pm 1$) and doubly charged vortices. Unlike in SU(3), where charge $+2$ vortices are simply elementary vortices with reversed orientations in spacetime, these possibilities are physically distinct in SU(4). Visualizations of the vortex structure in three-dimensional slices reveal the various ways in which doubly charged objects manifest, as the convergence and matching of elementary vortices or as isolated doubly charged loops. An algorithm is described to classify every doubly charged chain as one of these three types. A collection of vortex statistics is considered to quantify the vortex structure. Many of these pertain to the novel doubly charged objects, including their relative proportions and chain lengths, which are analyzed to highlight the differences between each chain type. Three different lattice spacings are employed to investigate the approach to the continuum limit. Vortex matching chains are found to be shorter on average but also more prevalent than vortex convergences, ascribed to their interpretation as extended center monopoles. In addition, the lengths of both vortex convergences and vortex matchings are observed to follow an exponential distribution, allowing the introduction of a constant probability for a doubly charged chain to split into two elementary vortices as it propagates. Combined, these findings provide a characterization of the vortices that comprise center-vortex structures in SU(4) Yang-Mills theory.

hep-lat↗

arXiv2024

Prospecting effective Yang-Mills-Higgs models for the asymptotic confining flux tube

In this work, we analyze a large class of effective Yang-Mills-Higgs models constructed in terms of adjoint scalars. In particular, we reproduce asymptotic properties of the confining string, suggested by lattice simulations of $SU(N)$ pure Yang-Mills theory, in models that are stable in the whole range of Higgs-field mass parameters. These properties include $N$-ality, Abelian-like flux-tube profiles, independence of the profiles with the $N$-ality of the quark representation, and Casimir scaling. We find that although these models are formulated in terms of many fields and possible Higgs potentials, a collective behavior can be established in a large region of parameter space, where the desired asymptotic behavior is realized.

hep-th↗

arXiv2017

${\rm SU}(N) \to {\rm Z}(N)$ dual superconductor models: the magnetic loop ensemble point of view

In this work, we initially discuss some physical properties of effective ${\rm SU}(N) \to {\rm Z}(N)$ YMH models, emphasizing the important role of valence gluons. Next, we review how adjoint fields are naturally generated as an effective description of "adjoint" loops in $4D$. Finally, we discuss the consequences that can be learnt from this point of view, and briefly comment on some improvements.

hep-th↗

arXiv2017

Geometry of the Shannon mutual information in continuum QFT

We analyze geometric terms and scaling properties of the Shannon mutual information in the continuum. This is done for a free massless scalar field theory in $d$-dimensions, in a coherent state reduced with respect to a general differentiable manifold. As a by-product, we find an expression for the reduced probability density of finding a certain field on a ball. We will also introduce and compute the Fisher information that this probability carries about the location of the observation region. This is an interesting information measure that refers to points in physical space, although in relativistic QFT they are labels and not fluctuating quantum observables.

hep-th↗

arXiv2008

Competition between Pomeranchuk instabilities in the nematic and hexatic channels in a two-dimensional spinless Fermi fluid

We study the competition between the nematic and the hexatic phases of a two-dimensional spinless Fermi fluid near Pomeranchuk instabilities. We show that the general phase diagram of this theory contains a bicritical point where two second order lines and a first order nematic/hexatic phase transition meet together. We found that at criticality, and deep inside the associated symmetry broken phases, the low energy theory is governed by a dissipative cubic mode, even near the bicritical point where nematic and hexatic fluctuations cannot be distinguished due to very strong dynamical couplings.

cond-mat.str-el↗

arXiv2007

Universal Landauer conductance in chiral symmetric 2d systems

We study transport properties of an arbitrarily shaped ultraclean graphene sheet, adiabatically connected to leads,composed by the same material. If the localized interactions do not destroy chiral symmetry, we show that the conductance is quantized, since it is dominated by the quasi one-dimensional leads. As an example, we show that smooth structural deformations of the graphene plane do not modify the conductance quantization.

cond-mat.mes-hall↗

arXiv2006

Long range interactions and the 3D asymptotic fermion spectrum

In this article, we study the stability of the space of asymptotic fermion states in (2+1)D, when long range interparticle interactions are present. This is done in the framework of bosonization, where the fermion propagator can be represented in terms of a vortex correlator. In particular, we discuss possible instabilities in the large distance behavior of the induced action for the vortex worldline.

hep-th↗

arXiv2004

Single Superfield Representation for Mixed Retarded and Advanced Correlators in Disordered Systems

We propose a new single superfield representation for mixed retarded and advanced correlators for noninteracting disordered systems. The method is tested in the simpler context of Random Matrix theory, by comparing with well known universal behavior for level spacing correlations. Our method is general and could be especially interesting to study localization properties encoded in the mixed correlators of Quantum Hall systems.

cond-mat.dis-nn↗

arXiv2003

Strongly correlated fermions with nonlinear energy dispersion and spontaneous generation of anisotropic phases

Using the bosonization approach we study fermionic systems with a nonlinear dispersion relation in dimension d>2. We explicitly show how the band curvature gives rise to interaction terms in the bosonic version of the model. Although these terms are perturbatively irrelevant in relation to the Landau Fermi liquid fixed point, they become relevant perturbations when instabilities take place. Using a coherent state path integral technique we built up the effective action that governs the dynamics of the Fermi surface fluctuations. We consider the combined effect of fermionic interactions and band curvature on possible anisotropic phases triggered by negative Landau parameters. In particular we study in some detail the phase diagram for the isotropic/nematic/hexatic quantum phase transition.

cond-mat.str-el↗

arXiv1999

Transport in finite incommensurate Peierls-Fröhlich systems

We show that the conductance of a one-dimensional, finite charge-density-wave (CDW) system of the incommensurate type is not renormalized at low temperatures and depends solely on the leads. Within our formalism, we argue that a similar behavior (perfect conductance) should occur for a wide class of one-dimensional strongly correlated finite systems where interactions are current dependent. The universal conductance is related to the presence of an (anomalous) chiral symmetry. The fundamental role played by the finiteness of the sample and the adiabaticity of the contacts to Fermi-liquid leads is evidenced.

cond-mat.mes-hall↗