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The problem of the consistent definition of gauge theories living on the non-commutative (NC) spaces with a non-constant NC parameter $\Theta(x)$ is discussed. Working in the L$_\infty$ formalism we specify the undeformed theory, $3$d…

高能物理 - 理论 · 物理学 2020-01-24 Vladislav G. Kupriyanov

The dynamical determination of the boundary conditions in SU(N) gauge theory on the orbifold $S^1/Z_2$ is investigated. We classify the equivalence classes of the boundary conditions, and then the vacuum energy density of the theory in each…

高能物理 - 唯象学 · 物理学 2011-07-19 Naoyuki Haba , Yutaka Hosotani , Yoshiharu Kawamura

We construct a Z_2 orbifold projection of SU(N) gauge theories formulated in five dimensions with a compact fifth dimension. We show through a non-perturbative argument that no boundary mass term for the Higgs field, identified with some of…

高能物理 - 格点 · 物理学 2009-11-10 Nikos Irges , Francesco Knechtli

We investigate the continuum limit of the step scaling function in the 2-d O(3) model with different theta-vacua. Since we find a different continuum value of the step scaling function for each value of theta, we can conclude that theta…

高能物理 - 格点 · 物理学 2012-11-14 Michael Bögli , Ferenc Niedermayer , Michele Pepe , Uwe-Jens Wiese

Topological terms in the O(3) nonlinear sigma model in (1+1) and (2+1) dimensions are re-examined based on the description of the SU(2)-valued field $g$. We first show that the topological soliton term in (1+1) dimensions arises from the…

高能物理 - 理论 · 物理学 2009-10-31 Toyohiro Tsurumaru , Izumi Tsutsui

The gauge principle is a cornerstone of particle-physics model building. Nevertheless, many constructions leave certain global $U(1)$ redundancies ungauged. In this work, we take the gauge principle to its logical extreme by promoting all…

高能物理 - 唯象学 · 物理学 2025-12-18 Antonio Herrero-Brocal , Javier Perez-Soler , Avelino Vicente

We study kinetic mixing between massless U(1) gauge symmetries in the bosonic formulation of heterotic orbifold compactifications. For non-prime Z_N factorisable orbifolds, we find a simple expression of the mixing in terms of the…

高能物理 - 理论 · 物理学 2015-06-03 Mark Goodsell , Saul Ramos-Sanchez , Andreas Ringwald

We propose a new solution to the strong-CP problem. It involves the existence of an unbroken gauged $U(1)_X$ symmetry whose gauge boson gets a Stuckelberg mass term by combining with a pseudoscalar field $\eta (x)$. The latter has…

高能物理 - 唯象学 · 物理学 2009-11-07 G. Aldazabal , L. E. Ibanez , A. M. Uranga

The restriction of space-time dimensions to "2+1" leads us to a novel quantum field theory which has the Chern-Simons term in its action. This term changes the nature of gauge interaction by giving a so-called topological mass to a gauge…

高能物理 - 理论 · 物理学 2007-05-23 Toyoki Matsuyama , Hideko Nagahiro

The linear $SU(2)_L \times SU(2)_R$ sigma-model occupies a unique place in elementary particle physics and quantum field theory. It has been recently realized that when a chemical potential for hypercharge is added, it becomes a toy model…

高能物理 - 唯象学 · 物理学 2009-11-10 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

The conditions leading to a nontrivial renormalization of the topological charge in four--dimensional Yang--Mills theory are discussed. It is shown that if the topological term is regarded as the limit of a certain nontopological…

高能物理 - 理论 · 物理学 2009-10-30 M. Reuter

We discuss a gauged $U(1)_R$ supergravity on five-dimensional (5D) orbifold ($S^1/Z_2$) in which both a $Z_2$-even U(1) gauge field and the $Z_2$-odd graviphoton take part in the $U(1)_R$ gauging. Based on the off-shell formulation of 5D…

高能物理 - 理论 · 物理学 2009-11-10 Hiroyuki Abe , Kiwoon Choi

We study the energy-momentum tensor of the spherically symmetric non-topological solitons of the $O(3)$ non-linear sigma-model with a standard kinetic term and with a symmetry breaking potential in 3+1 dimensional flat space-time. We…

高能物理 - 理论 · 物理学 2026-02-13 Aliaksei Mikhaliuk , Yakov Shnir

The two-dimensional O(3) nonlinear sigma model is a well known toy model for studying non-perturbative phenomena in quantum field theory. A central challenge is the renormalization of the energy-momentum tensor, which is complicated by the…

高能物理 - 格点 · 物理学 2026-05-08 Mika Lauk , Agostino Patella

We study a nonlocal theory that combines both the Pseudo quantum electrodynamics (PQED) and Chern-Simons actions among two-dimensional electrons. In the static limit, we conclude that the competition of these two interactions yields a…

高能物理 - 理论 · 物理学 2020-07-01 Gabriel C. Magalhães , Van S. Alves , Eduardo C. Marino , Leandro O. Nascimento

The coupling constants $g_L$ and $g_X$ of some versions of the $SU(3)_L\otimes U(1)_X$ extension of the standard model are related through to relationship $g^2_X/g^2_L= \sin^2\theta_W/(1 - 4\sin^2\theta_W)$. This fact suggest that the…

高能物理 - 唯象学 · 物理学 2008-11-26 A. Doff

We study the unitarity bounds of the scattering amplitudes in the extra dimensional gauge theory where the gauge symmetry is broken by the boundary condition. The estimation of the amplitude of the diagram including four massive gauge…

高能物理 - 理论 · 物理学 2014-11-18 Y. Abe , N. Haba , Y. Higashide , K. Kobayashi , M. Matsunaga

Three-dimensional gauge theories coupled to fermions can develop interesting nonperturbative dynamics. Here we study in detail the dynamics of $SU(N)$ gauge theories coupled to a Dirac fermion in the rank-two symmetric and antisymmetric…

高能物理 - 理论 · 物理学 2018-10-19 Changha Choi , Diego Delmastro , Jaume Gomis , Zohar Komargodski

We propose that a single, spontaneously broken, U(1) gauge symmetry may be responsible for suppressing both the first two generation Yukawa couplings, and also, in a correlated manner, parameters in the dynamical supersymmetry (SUSY)…

高能物理 - 唯象学 · 物理学 2015-06-15 Edward Hardy , John March-Russell

The idea of grand unification in a minimal supersymmetric SU(5)xSU(5) framework is revisited. It is shown that the unification of gauge couplings into a unique coupling constant can be achieved at a high-energy scale compatible with proton…

高能物理 - 唯象学 · 物理学 2011-08-09 David Emmanuel-Costa , Edison T. Franco , Ricardo Gonzalez Felipe