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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
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
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
Tanmay Vachaspati
Summary: Researchers have discovered electric field configurations in pure non-Abelian gauge theory where the Schwinger process is absent, protecting the electric field from quantum dissipation. This finding has implications for the stability of QCD flux tubes.
Article
Physics, Multidisciplinary
Ze-Guo Chen, Ruo-Yang Zhang, C. T. Chan, Guancong Ma
Summary: This study demonstrates the realization of non-Abelian braiding of multiple degenerate acoustic waveguide modes, exploring the dynamics and geometric phase variations. By switching the order of different braiding processes, the non-Abelian characteristics are revealed.
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
Engineering, Electrical & Electronic
Jiexiong Wu, Zhu Wang, Yuanchuan Biao, Fucong Fei, Shuai Zhang, Zepeng Yin, Yejian Hu, Ziyin Song, Tianyu Wu, Fengqi Song, Rui Yu
Summary: This study demonstrates the synthesis of non-Abelian gauge fields in circuits and provides circuit designs for implementing spin-orbit interaction, topological Chern state, and non-Abelian Aharonov-Bohm effect.
NATURE ELECTRONICS
(2022)
Article
Materials Science, Multidisciplinary
Claudio Bonati, Andrea Pelissetto, Ettore Vicari
Summary: The study investigates a noncompact lattice formulation of three-dimensional electrodynamics with N-component complex scalar fields, showing a phase diagram with three distinct phases: Coulomb phase, Higgs phase, and molecular phase separated by transition lines meeting at a multicritical point. The transitions are described by various continuum field theories with explicit or implicit gauge fields, and the numerical results are consistent with renormalization-group predictions for consecutive Coulomb-to-Higgs transitions.
Article
Astronomy & Astrophysics
Yi Zhong, Yun-Zhi Du
Summary: In this paper, the localization of the five-dimensional U(1) gauge field coupled with a background scalar potential on symmetric and asymmetric degenerate Bloch branes is studied. The Lagrangian of the gauge field is decomposed into its vector and scalar components, and it is found that the effective potential exhibits volcano-like shape for the vector field. Massless vector field and a set of massive KK resonances are obtained. For the scalar part, their massless modes are coupled, while two sets of massive scalar KK modes are independent. The asymmetric parameter has different effects on the localization of scalar modes for the two types of Bloch brane solutions.
Article
Physics, Particles & Fields
Spyros Konitopoulos
Summary: A systematic method is presented for the construction and classification of algebras of gauge transformations for arbitrary high rank tensor gauge fields. By adjusting the values of the initial coefficients and imposing restrictions on the gauge functions, one can recover previously analyzed algebras and construct new ones. The presentation of a new algebra for tensor gauge transformations is the central result of this article.
Article
Physics, Multidisciplinary
Zheng Liu, J. C. Cao
Summary: In this paper, the symmetry of the effective non-Abelian gauge field model in the system of twisted bilayer graphene (TBG) is explored in detail. It is found that the total Lagrangian, including the term of pseudo Rashba effect and the magnetic-like term, is locally U(1) invariant up to a total derivative term. The magnetic-like term is actually of the spin-orbit-interaction-like form.
Article
Astronomy & Astrophysics
Jude Pereira, Tanmay Vachaspati
Summary: This study examines the stability of fluctuations around a homogeneous non-Abelian electric field background protected from Schwinger pair production. By identifying unstable modes, a set of parameters is found where no instabilities occur. Potential implications for confining strings in non-Abelian gauge theories 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
Physics, Multidisciplinary
Mehedi Hasan, Chetan Sriram Madasu, Ketan D. Rathod, Chang Chi Kwong, Christian Miniatura, Frederic Chevy, David Wilkowski
Summary: This article introduces the Aharonov-Bohm effect in quantum mechanics and its interpretation using Berry phase and non-Abelian gauge fields. The authors experimentally observe the noninertial dynamics in a degenerate fermionic atomic gas and reveal its spin Hall nature and anisotropy in amplitude and frequency due to the spin texture of the system. The observed wave packet dynamics are compared with the Zitterbewegung effect in the relativistic Dirac equation.
PHYSICAL REVIEW LETTERS
(2022)
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
Peter Adshead, John T. Giblin, Timothy R. Scully, Evangelos I. Sfakianakis
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
(2015)
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Astronomy & Astrophysics
Peter Adshead, Diego Blas, C. P. Burgess, Peter Hayman, Subodh P. Patil
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
(2016)
Article
Astronomy & Astrophysics
Peter Adshead, John T. Giblin, Timothy R. Scully, Evangelos I. Sfakianakis
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
(2016)
Article
Physics, Multidisciplinary
Peter Adshead, Evangelos I. Sfakianakis
PHYSICAL REVIEW LETTERS
(2016)
Article
Physics, Particles & Fields
Peter Adshead, Yanou Cui, Jessie Shelton
JOURNAL OF HIGH ENERGY PHYSICS
(2016)
Article
Physics, Particles & Fields
Peter Adshead, Emil Martinec, Evangelos I. Sfakianakis, Mark Wyman
JOURNAL OF HIGH ENERGY PHYSICS
(2016)
Article
Physics, Particles & Fields
Peter Adshead, Evangelos I. Sfakianakis
JOURNAL OF HIGH ENERGY PHYSICS
(2017)
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Astronomy & Astrophysics
Peter Adshead, Lauren Pearce, Marco Peloso, Michael A. Roberts, Lorenzo Sorbo
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
(2018)
Article
Astronomy & Astrophysics
Peter Adshead, C. P. Burgess, R. Holman, Sarah Shandera
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
(2018)
Article
Astronomy & Astrophysics
Peter Adshead, Aike Liu
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
(2018)
Article
Physics, Particles & Fields
Peter Adshead, Pranjal Ralegankar, Jessie Shelton
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Astronomy & Astrophysics
Peter Adshead, Lauren Pearce, Marco Peloso, Michael A. Roberts, Lorenzo Sorbo
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
(2019)
Article
Astronomy & Astrophysics
Peter Adshead, John T. Giblin, Zachary J. Weiner
Article
Astronomy & Astrophysics
Peter Adshead, John T. Giblin, Zachary J. Weiner
Article
Astronomy & Astrophysics
Peter Adshead, Andrew J. Long, Evangelos I. Sfakianakis