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We consider the Lorentz contraction of a fermion-antifermion bound state in 1+1 dimensional QED. In 1+1 dimensions the absence of physical, propagating photons allows us to explicitly solve the weak coupling limit \alpha << m^2 of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Jarvinen

A review on spatially flat D-dimensional Friedmann-Robertson-Walker (FRW) model of the universe has been performed. Some standard parameterizations of the equation of state parameter of the Dark Energy models are proposed and the…

General Relativity and Quantum Cosmology · Physics 2019-03-26 Tanwi Bandyopadhyay , Ujjal Debnath

A relativistic kinetic Fokker-Planck equation that has been recently proposed in the physical literature is studied. It is shown that, in contrast to other existing relativistic models, the one considered in this paper is invariant under…

Mathematical Physics · Physics 2011-05-16 José Antonio Alcántara Félix , Simone Calogero

A generalized version is proposed for the field-antifield formalism. The antibracket operation is defined in arbitrary field-antifield coordinates. The antisymplectic definitions are given for first- and second-class constraints. In the…

High Energy Physics - Theory · Physics 2008-11-26 I. A. Batalin , I. V. Tyutin

A consistent strategy for the subtraction of the divergences in the nonlinearly realized Electroweak Model in the loop expansion is presented. No Higgs field enters into the perturbative spectrum. The local functional equation (LFE),…

High Energy Physics - Phenomenology · Physics 2010-02-21 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri

The Batalin-Fradkin-Tyutin (BFT) scheme, which is an improved version of Dirac quantization, is applied to the $CP^1$ model, and the compact form of a nontrivial first-class Hamiltonian is directly obtained by introducing the BFT physical…

High Energy Physics - Theory · Physics 2009-10-31 Soon-Tae Hong , Young-Jai Park , Kuniharu Kubodera , Fred Myhrer

In this paper we analyze two higher-derivative theories, the generalized electrodynamics and the Alekseev-Arbuzov-Baikov's effective Lagrangian from the point of view of Faddeev-Jackiw sympletic approach. It is shown that the full set of…

High Energy Physics - Theory · Physics 2014-08-08 R. Bufalo , B. M. Pimentel

An FLRW reduction of N=1 supergravity is troublesome since spatial isotropy prohibits a non-vanishing Rarita-Schwinger field. In view of this, we consider the quadratic form $\psi_m^{\ \alpha} \psi_{n \alpha}$ arising from a particular…

High Energy Physics - Theory · Physics 2025-10-24 Nephtalí Eliceo Martínez-Pérez , Cupatitzio Ramírez Romero

We show that for N = 1 supersymmetric Yang-Mills theory it is possible to build an off-shell nilpotent BRST and anti-BRST algebra in terms of a BRST superspace formalism. This is based on the introduction of the basic fields of the…

High Energy Physics - Theory · Physics 2023-07-19 A Meziane , Mohamed Tahiri

We investigate a possibility of the "flatland scenario", in which the electroweak gauge symmetry is radiatively broken via the Coleman-Weinberg mechanism starting from a completely flat Higgs potential at the Planck scale. We show that the…

High Energy Physics - Phenomenology · Physics 2015-04-28 Michio Hashimoto , Satoshi Iso , Yuta Orikasa

In the current theory of non-Abelian gauge field, we only claim the invariability of Lagrangian, without claim the invariability of the motion equation. This is inconsistent and irrational. It is proved that a restriction relation between…

General Physics · Physics 2010-03-31 Mei Xiaochun

In this paper we discuss the absolutely anticommuting nilpotent symmetries for perturbative quantum gravity in general curved spacetime in linear and non-linear gauges. Further, we analyze the finite field-dependent BRST (FFBRST)…

General Relativity and Quantum Cosmology · Physics 2013-11-25 Sudhaker Upadhyay

We derive the off-shell nilpotent symmetries of the two (1+1)-dimensional (2D) non-Abelian 1-form gauge theory by using the theoretical techniques of the geometrical superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism. For…

High Energy Physics - Theory · Physics 2017-12-01 N. Srinivas , R. P. Malik

Quantum Electrodynamics may be formulated as a Quantum Field Theory , and also as relativistic quantum mechanics by introduction of the Feynman-Stueckelberg parameter. As stated by M. Srednicki ({\it Quantum Field Theory}, Cambridge…

Quantum Physics · Physics 2020-05-05 A. F. Bennett

The Dirac procedure for dealing with constraints is applied to the quantization of gauge theories on the light front. The light cone gauge is used in conjunction with the first class constraints that arise and the resulting Dirac brackets…

High Energy Physics - Theory · Physics 2016-05-25 D. G. C. McKeon , Chenguang Zhao

We examine the model of Two-Dimensional Quadratic Gravity as a consequence of symmetry breaking within the framework of background field (BF) theory. This theory is essentially an extension of BF theory, introducing an additional polynomial…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Jaime Manuel Cabrera , Jorge Mauricio Paulin Fuentes

We consider the numerical approximation of a continuum model of antiferromagnetic and ferrimagnetic materials. The state of the material is described in terms of two unit-length vector fields, which can be interpreted as the magnetizations…

Numerical Analysis · Mathematics 2023-12-11 Hywel Normington , Michele Ruggeri

We present a superfield formulation of the quantization program for theories with first class constraints. An exact operator formulation is given, and we show how to set up a phase-space path integral entirely in terms of superfields. BRST…

High Energy Physics - Theory · Physics 2009-10-30 I. A. Batalin , K. Bering , P. H. Damgaard

The gauge structure of the four dimensional effective theory (4DET) arising from a pure Yang-Mills theory in five dimensions compactified on the orbifold $S^1/Z_2$ is reexamined on the basis of the BRST symmetry. The two scenarios that can…

High Energy Physics - Phenomenology · Physics 2011-01-18 H. Novales-Sánchez , J. J. Toscano

We perform the Becchi-Rouet-Stora-Tyutin (BRST) analysis of the Freedman-Townsend (FT) model of topologically massive non-Abelian theory by exploiting its (1-form) Yang-Mills (YM) gauge transformations to show the existence of some novel…

High Energy Physics - Theory · Physics 2012-08-03 R. P. Malik