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Consistent interactions that can be added to a free, Abelian gauge theory comprising a BF model and a finite set of massless real scalar fields are constructed from the deformation of the solution to the master equation based on specific…

High Energy Physics - Theory · Physics 2016-07-06 Constantin Bizdadea , Solange-Odile Saliu

The theory of gauge fields in Theoretical Physics poses several mathematical problems of interest in Differential Geometry and in Field Theory. Below we tackle one of these problems: The existence of a finite system of generators of…

Mathematical Physics · Physics 2019-03-04 Marco Castrillón López , Jaime Muñoz Masqué , Eugenia Rosado María

In this paper we study the nonabelian, gauge invariant and asymptotically free quantum gauge theory with a mass parameter introduced in hep-th/0605050. We develop the Feynman diagram technique, calculate the mass and coupling constant…

High Energy Physics - Theory · Physics 2012-04-24 A. Sevostyanov

We consider a field theoretical model where a SU(2) fermion doublet, subjected to non-Abelian gauge interactions, is also coupled to a complex scalar field doublet via a Yukawa and an irrelevant Wilson-like term. Despite the presence of…

Topological phases of matter in (2+1) dimensions are commonly equipped with global symmetries, such as electric-magnetic duality in gauge theories and bilayer symmetry in fractional quantum Hall states. Gauging these symmetries into local…

Strongly Correlated Electrons · Physics 2017-10-04 Xiao Chen , Abhishek Roy , Jeffrey C. Y. Teo , Shinsei Ryu

We introduce a self-dual field strength which replaces the gauge field in spontaneously broken Yang-Mills theory, reformulating it as a Lorentz covariant non-linear sigma model. This dualized theory is in both a unitary and renormalizable…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chalmers , Warren Siegel

The manifestly gauge invariant formulation for free symmetric partially massless fields in $(A)dS_d$ is given in terms of gauge connections and linearized curvatures that take values in the irreducible representations of $(o(d-1,2)) o(d,1)$…

High Energy Physics - Theory · Physics 2008-11-26 E. D. Skvortsov , M. A. Vasiliev

To investigate the mass generating problem without Higgs mechanism we present a model in which a new scalar gauge coupling is naturally introduced. Because of the existence of production and annihilation for particles in quantum field…

High Energy Physics - Phenomenology · Physics 2014-04-09 ChiYi Chen

We provide evidence for the existence of a new strongly-coupled four dimensional $\mathcal{N}=2$ superconformal field theory arising as a non-trivial IR fixed point on the Coulomb branch of the mass-deformed superconformal Lagrangian theory…

High Energy Physics - Theory · Physics 2021-10-04 Justin Kaidi , Mario Martone

A dynamical non-abelian two-form potential gives masses to vector bosons via a topological coupling. Unlike in the abelian case, the two-form cannot be dualized to Goldstone bosons. Duality is restored by coupling a flat connection to the…

High Energy Physics - Theory · Physics 2014-11-18 Amitabha Lahiri

It is well-known that if we gauge a $\mathbb{Z}_n$ symmetry in two dimensions, a dual $\mathbb{Z}_n$ symmetry appears, such that re-gauging this dual $\mathbb{Z}_n$ symmetry leads back to the original theory. We describe how this can be…

High Energy Physics - Theory · Physics 2020-05-20 Lakshya Bhardwaj , Yuji Tachikawa

The (2+1)-dimensional generalized massless Thirring model with 4-component Fermi-fields is investigated by the Hartree-Fock method. The Lagrangian of this model is constructed from two different four-fermion structures. One of them takes…

High Energy Physics - Theory · Physics 2022-10-19 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

Massless 2+1D Dirac fermions arise in a variety of systems from graphene to the surfaces of topological insulators, where generating a mass is typically associated with breaking a symmetry. However, with strong interactions, a symmetric…

Strongly Correlated Electrons · Physics 2018-02-21 Yi-Zhuang You , Yin-Chen He , Cenke Xu , Ashvin Vishwanath

We study a single exactly massless staggered fermion in the fundamental representation of an $SU(2)$ gauge group. We utilize an nHYP-smeared fermion action supplemented with additional heavy Pauli-Villars fields which serve to decrease…

High Energy Physics - Lattice · Physics 2024-12-20 Nouman Butt , Simon Catterall , Anna Hasenfratz

We prove a formula for the global gravitational anomaly of the self-dual field theory in the presence of background gauge fields, assuming the results of arXiv:1110.4639. Along the way, we also clarify various points about the self-dual…

High Energy Physics - Theory · Physics 2016-04-21 Samuel Monnier

In this paper we develop the frame-like gauge invariant formulation for the massive two-column bosonic fields in (anti) de Sitter space-times. We begin with the partially massless cases in AdS and dS and then we combine these results into…

High Energy Physics - Theory · Physics 2016-11-23 Yu. M. Zinoviev

We investigate SU(2) gauge fields topology using new approach, which exploits the well known connection between SU(2) gauge theory and quaternionic projective sigma-models and allows to formulate the topological charge density entirely in…

High Energy Physics - Lattice · Physics 2009-11-11 F. V. Gubarev , S. M. Morozov

We construct a general Lagrangian, quadratic in the field strengths of $n$ abelian gauge fields, which interpolates between BI actions of n abelian vectors and actions, quadratic in the vector field-strengths, describing Maxwell fields…

High Energy Physics - Theory · Physics 2015-06-23 Laura Andrianopoli , Riccardo D'Auria , Mario Trigiante

$SU(2)$ gauge fields and axions can have a stable, isotropic and homogeneous configuration during inflation. However, couplings to other matter species lead to particle production, which in turn induces backreaction on and destabilization…

High Energy Physics - Theory · Physics 2020-04-29 Leila Mirzagholi , Azadeh Maleknejad , Kaloian D. Lozanov

In this paper, fermions are minimally coupled to 3D-gravity where a dynamical torsion is introduced. A Kalb-Ramond field is non-minimally coupled to these fermions in a gauge-invariant way. We show that a 1-loop mass generation mechanism…

High Energy Physics - Theory · Physics 2009-10-31 J. L. Boldo , J. A. Helayel-Neto , N. Panza