arXiv subjects

Natalia A. Tapia Arellano

Publications and source records attributed to Natalia A. Tapia Arellano.

3 recordsLinked to original sources

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 $θ$ Vacuum and Dressing in Yang-Mills Theory

We reformulate the strong $CP$ problem from an infrared viewpoint in which the vacuum angle $θ$ 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 $e^{iθQ}$. A quantum rotor provides a controlled infrared example illustrating why broad classes of local correlators may remain insensitive to $θ$, 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 $θ$--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↗