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Some of the key cohomological features of the two $(1+1)$-dimensional (2D) free Abelian- and self-interacting non-Abelian gauge theories (having no interaction with matter fields) are briefly discussed first in the language of symmetry…

High Energy Physics - Theory · Physics 2014-11-18 R. P. Malik

We investigate a U(1) chiral gauge model in 4+1 dimensions formulated on the lattice via the domain-wall method. We calculate an effective action for smooth background gauge fields at a fermion one loop level. From this calculation we…

High Energy Physics - Lattice · Physics 2009-10-28 S. Aoki , H. Hirose

We develop an effective gauge theory for three-flavored magnons in frustrated magnets hosting topological textures with the aid of the quaternion representation of the SO(3) order parameter. We find that the effect of topological solitons…

Mesoscale and Nanoscale Physics · Physics 2024-07-23 Ricardo Zarzuela , Se Kwon Kim

We study some consequences of dimensionally reducing systems with massless fermions and Abelian gauge fields from 3+1 to 2+1 dimensions. We first consider fermions in the presence of an external Abelian gauge field. In the reduced theory,…

High Energy Physics - Theory · Physics 2009-10-31 C. D. Fosco , A. Lopez , F. A. Schaposnik

Domain wall junctions are studied in N=2 supersymmetric U(Nc) gauge theory with Nf(>Nc) flavors. We find that all three possibilities are realized for positive, negative and zero junction charges. The positive junction charge is found to be…

High Energy Physics - Theory · Physics 2010-04-05 Minoru Eto , Youichi Isozumi , Muneto Nitta , Keisuke Ohashi , Norisuke Sakai

In the framework of superfield formalism, we demonstrate the existence of a new local, covariant, continuous and nilpotent (dual-BRST) symmetry for the BRST invariant Lagrangian density of a self-interacting two ($1 + 1$)-dimensional (2D)…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

Gauge field theory is developed in the framework of scale relativity. In this theory, space-time is described as a non-differentiable continuum, which implies it is fractal, i.e., explicitly dependent on internal scale variables. Owing to…

High Energy Physics - Theory · Physics 2009-11-11 Laurent Nottale , Marie-Noëlle Célérier , Thierry Lehner

The standard wisdom on the origin of massless bosons in the spectrum of a Quantum Field Theory $(QFT)$ describing the interaction of gauge fields coupled to matter fields is based on two well known features: gauge symmetry, and spontaneous…

High Energy Physics - Lattice · Physics 2019-10-30 Vicente Azcoiti

In Lagrangian gauge systems, the vector space of global reducibility parameters forms a module under the Lie algebra of symmetries of the action. Since the classification of global reducibility parameters is generically easier than the…

High Energy Physics - Theory · Physics 2016-01-01 Glenn Barnich , Xavier Bekaert , Maxim Grigoriev

The idea of gauging (i.e. making local) symmetries of a physical system is a central feature of many modern field theories. Usually, one starts with a Lagrangian for some scalar or spinor matter fields, with the Lagrangian being invariant…

High Energy Physics - Theory · Physics 2007-05-23 Akira Kato , Doug Singleton

We provide a general technique for collectively analysing a manifestly covariant formulation of non-abelian gauge theories on both anti de Sitter as well as de Sitter spaces. This is done by stereographically projecting the corresponding…

High Energy Physics - Theory · Physics 2008-11-26 Rabin Banerjee , Bibhas Ranjan Majhi

Solving numerically the equations of motion for the effective lagrangian describing supersymmetric QCD with the SU(2) gauge group, we find a menagerie of complex domain wall solutions connecting different chirally asymmetric vacua. Some of…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Smilga , A. I. Veselov

Domain walls in strongly coupled gauge theories are discussed. A general mechanism is suggested automatically leading to massless gauge bosons localized on the wall. In one of the models considered, outside the wall the theory is in the…

High Energy Physics - Theory · Physics 2009-10-30 G. Dvali , M. Shifman

We investigate the gauge dynamics of nonsupersymmetric SU(N) gauge theories featuring the simultaneous presence of fermionic matter transforming according to two distinct representations of the underlying gauge group. We bound the regions…

High Energy Physics - Phenomenology · Physics 2014-11-20 Thomas A Ryttov , Francesco Sannino

An improved mapping of one-dimensional SU(2) non-Abelian gauge theory onto qubit degrees of freedom is presented. This new mapping allows for a reduced unphysical Hilbert space. Insensitivity to interactions within this unphysical space is…

Quantum Physics · Physics 2020-04-29 Natalie Klco , Jesse R. Stryker , Martin J. Savage

We show that as in abelian gauge fields, nonabelian gauge fields are also trapped on a brane in the Randall-Sundrum model by applying a new mechanism based on topological Higgs mechanism. It is pointed out that although almost massless…

High Energy Physics - Theory · Physics 2007-05-23 Ichiro Oda

For (3+1)-dimensional fermions, a net axial charge and external magnetic field can lead to a current parallel to the magnetic field. This is the chiral magnetic effect. We use gauge-gravity duality to study the chiral magnetic effect in…

High Energy Physics - Theory · Physics 2015-05-28 Carlos Hoyos , Tatsuma Nishioka , Andy O'Bannon

U(1), SU(2), and SU(3) lattice gauge theories in presence of external fields are investigated both in (3+1) and (2+1) dimensions. The free energy of gauge systems has been measured. While the phase transition in compact U(1) is not…

High Energy Physics - Lattice · Physics 2009-11-10 P. Cea , L. Cosmai

Novel Lagrangians are discussed in which (non-abelian) electric and magnetic gauge fields appear on a par. To ensure that these Lagrangians describe the correct number of degrees of freedom, tensor gauge fields are included with…

High Energy Physics - Theory · Physics 2009-11-11 Bernard de Wit , Henning Samtleben , Mario Trigiante

The confinement of electromagnetic field is studied in axial symmetrical, warped, 6D World Brane, using a recently proposed topological abelian string vortex solution as background. It was found, that the massless gauge field fluctuations…

High Energy Physics - Theory · Physics 2015-03-13 Rafael S. Torrealba