Article
Astronomy & Astrophysics
D. Binosi, A. Quadri
Summary: This article investigates a deformation of the Abelian Higgs Kibble model induced by a dimension-six derivative operator. A new differential equation is established to determine the dependence of the vertex functional on the coupling z of the dimension-six operator. In this formulation, where the physical mode is described by a gauge-invariant field, functional identities of the theory are studied. The model, despite being nonpower-counting renormalizable, depends on a finite number of physical parameters when z is not equal to zero.
Article
Astronomy & Astrophysics
Tatsuo Kobayashi, Hikaru Uchida
Summary: We study anomalies of non-Abelian discrete symmetries and find that the anomaly-free elements of the group generate a normal subgroup, while the residue class group becomes the anomalous part of the group. The derived subgroup is useful in studying the anomaly structure and constrains the structure of the anomaly-free subgroup.
Article
Physics, Multidisciplinary
Jad C. Halimeh, Haifeng Lang, Philipp Hauke
Summary: Researchers demonstrate how non-abelian gauge invariance can be reliably controlled using energy protection terms, protecting the target gauge sector from unitary gauge-breaking errors. They also show that in certain cases, single-body protection terms can robustly suppress gauge violations at all evolution timescales, exhibiting the emergence of an adjusted gauge theory.
NEW JOURNAL OF PHYSICS
(2022)
Article
Astronomy & Astrophysics
Ermis Mitsou, Jaiyul Yoo
Summary: This letter explores the effects of spatial gauge on bispectra in single-field inflationary models. The authors compute the variation of bispectra under a general spatial gauge transformation and derive a generalization of the consistency relations in the squeezed configuration. They find that the transformation only affects cases where the long mode is a scalar at leading order in the long wave-number.
Article
Physics, Multidisciplinary
Matthew Buican, Linfeng Li, Rajath Radhakrishnan
Summary: Arad and Herzog conjectured that in finite simple groups, the product of two conjugacy classes of length greater than one is never a single conjugacy class. This has implications for non-abelian anyons in 2D discrete gauge theories, revealing a close relationship between finite simple groups and their associated discrete gauge theories. The lack of certain dualities in theories with non-abelian finite simple gauge groups serves as a non-trivial test of the AH conjecture.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Astronomy & Astrophysics
Tomohiro Furukawa, Keiichi Ishibashi, H. Itoyama, Satoshi Kambayashi
Summary: This article revisited the force potential exerting between two classical static sources of pure non-Abelian gauge theory in the Coulomb gauge, examining its perturbative behavior through short-distance expansion and derivative expansion. The latter expansion confirmed the well-known change in effective coupling constant in the Coulomb part as well as the Uehling potential, while the former involved the convolution of two Coulomb Green functions which were non-singular at x = y. The effect of the twist was introduced through the Green function of the sector.
Article
Astronomy & Astrophysics
Yannick Meurice
Summary: The article introduces the lattice compact Abelian Higgs model and quantum simulation using a ladder-shaped optical lattice in 1 + 1 dimensions. By building local Hilbert spaces with Rydberg atoms, the concept of ladder-shaped configurable arrays is proposed. Concrete proposals involving two and three atoms for constructing spin-1 spaces and analytical tools for design and building are discussed.
Article
Physics, Multidisciplinary
Z. Haghgouyan, M. Ghasemkhani, R. Bufalo, A. Soto
Summary: In this paper, the one-loop induced effective action for a non-Abelian gauge field in the very special relativity (VSR) framework in a (2 + 1)-dimensional spacetime is studied. The new graphs contributing to the amplitudes of gluon n-point functions, originating from the non-local couplings generated in VSR, are shown. The VSR corrections to the induced kinetic term of the non-abelian gauge field action in three dimensions are evaluated using the one-loop analysis.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Mechanics
Giacomo Bracci Testasecca, Andrea Pelissetto
Summary: We study a variant of the charge -Q compact Abelian-Higgs model, where a complex vector of N-f dimensions is coupled with an Abelian Zq gauge field. For N-f = 2 and Q =1, we find multiple transition lines belonging to O(4), O(3), and O(2) vector universality classes, depending on the symmetry breaking pattern. The universality class is independent of q for q ? 3. The behavior of scalar fields uniquely determines the universality class of the transition, while gauge fields have no influence. We also investigate the system for N-f = 15 and Q = 2. In the presence of U(1) gauge fields, the system undergoes transitions associated with charged fixed points of the Abelian-Higgs field theory. These continuous transitions turn into first-order ones when the U(1) gauge fields are replaced by the discrete Z(q) fields: charged transitions in this compact model are highly sensitive to the nature of gauge fields.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2023)
Article
Astronomy & Astrophysics
L. L. Salcedo
Summary: This study investigates the quantum effective action of nonminimal vector fields with Abelian or non-Abelian gauge degrees of freedom in curved spacetime. By introducing a non-Abelian version of the Stueckelberg field, pathologies due to gauge invariance in the ultraviolet regime are avoided. The study finds that the breaking of gauge invariance induced by the mass term only affects the tree-level part of the effective action. The ultraviolet divergent part of the effective action to one loop is obtained using the method of covariant symbols and dimensional regularization.
Article
Astronomy & Astrophysics
Alessio Belfiglio, Orlando Luongo, Stefano Mancini
Summary: We investigate the entanglement due to geometric corrections in particle creation during inflation. We propose a single-field inflationary scenario, nonminimally coupled to the scalar curvature of spacetime, where particle production is purely geometric. The effects of the nonzero entanglement entropy on the primordial time of Universe evolution are studied, and the possibility of modeling the particle candidate in terms of dark matter is discussed. The classical backreaction of inhomogeneities on the homogeneous dynamical background degrees of freedom is also studied and quantified in the slow-roll regime.
Article
Astronomy & Astrophysics
Pavel Yur'evich Moshin, Alexander Alexandrovich Reshetnyak, Ricardo Alexander Castro
Summary: Non-Abelian gauge theories with composite fields are studied using the background field method. Generating functionals for Yang-Mills theories with composite and background fields are introduced, including the generating functional of effective action. Ward identities and gauge dependence are investigated, and a gauge variation of the effective action is found in terms of a nilpotent operator. The on-shell independence of the effective action from the choice of gauge fixing is established.
Article
Astronomy & Astrophysics
Andronikos Paliathanasis, Genly Leon
Summary: In this study, we investigate the asymptotic behavior of solutions and search for attractors in a cosmological model called hyperbolic inflation. We find that two hyperbolic inflationary stages are stable solutions that can solve the flatness problem and describe acceleration. We also obtain a Milne-like attractor solution for the open model and investigate mirror solutions with opposite dynamical behaviors in the contracting branch.
Article
Materials Science, Multidisciplinary
Zhi-Feng Zhang, Qing-Rui Wang, Peng Ye
Summary: This article studies the fusion and shrinking rules of loops in three dimensions through field theory, and finds that the fusion may have non-Abelian properties.
Article
Astronomy & Astrophysics
Timothy Cohen, Daniel Green, Akhil Premkumar
Summary: Fluctuations in cosmology are crucial and can be coarse grained with Gaussian distribution or dominated by rare fluctuations. The large deviation principle is proposed to diagnose when the fundamental description is necessary. The Fokker-Planck equation governing stochastic inflation shows central limit-type behavior for typical fluctuations, but instantonlike saddle points accompanied by a new energy scale determine fluctuations in the regime of the large deviation principle.
