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Noether's symmetry transformations for higher-order lagrangians are studied. A characterization of these transformations is presented, which is useful to find gauge transformations for higher-order singular lagrangians. The case of…

High Energy Physics - Theory · Physics 2018-11-07 Xavier Gracia , Josep M. Pons

We study the polynomial Abelian or U(1)^d Tensorial Group Field Theories equipped with a gauge invariance condition in any dimension d. From our analysis, we prove the just renormalizability at all orders of perturbation of the phi^4_6 and…

High Energy Physics - Theory · Physics 2014-03-11 Dine Ousmane Samary , Fabien Vignes-Tourneret

In canonical gravity, general covariance is implemented by hypersurface-deformation symmetries on phase space. The different versions of hypersurface deformations required for full covariance have complicated interplays with one another,…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Martin Bojowald

When the path integral method of anomaly evaluation is applied to chiral gauge theories, two different types of gauge anomaly, i.e., the consistent form and the covariant form, appear depending on the regularization scheme for the Jacobian…

High Energy Physics - Theory · Physics 2009-10-30 Kiyoshi Okuyama , Hiroshi Suzuki

We perform a systematic one-loop renormalization to the standard model with a nonlinearly realized Higgs boson field and the electroweak chiral Lagrangian up to $O(p^2)$ order. We find even in the nonlinear form, the Higgs model of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Qi-Shu Yan

A novel inhomogeneous gauge transformation law is proposed for a non-Abelian adjoint two-form in four dimensions. Rules for constructing actions invariant under this are given. The auxiliary vector field which appears in some of these…

High Energy Physics - Theory · Physics 2009-11-07 Amitabha Lahiri

We quantize the spontaneously broken abelian U(1) Higgs model by using the improved BFT and BFV formalisms. We have constructed the BFT physical fields, and obtain the first class observables including the Hamiltonian in terms of these…

High Energy Physics - Theory · Physics 2009-10-30 Yong-Wan Kim , Young-Jai Park

We consider a generalization of nonrelativistic Schr\"odinger-Higgs Lagrangian by introducing a nonstandard kinetic term. We show that this model is Galilean invariant, we construct the conserved charges associated to the symmetries and…

High Energy Physics - Theory · Physics 2015-11-18 Lucas Sourrouille

We study the phase diagram and phase transitions of the three dimensional multicomponent lattice Higgs model with non-compact Abelian discrete groups. The model with non-compact U(1) gauge group is known to undergo, for a sufficiently large…

High Energy Physics - Lattice · Physics 2024-04-15 Claudio Bonati , Niccolò Francini

Conformal transformations of a Euclidean (complex) plane have some kind of completeness (sufficiency) for the solution of many mathematical and physical-mathematical problems formulated on this plane. There is no such completeness in the…

Mathematical Physics · Physics 2007-05-23 G. I. Garas'ko

We consider two ways of introducing minimal Abelian gauge interactions into the model presented in [1]. They are different only if the second central charge of the planar Galilei group is nonzero. One way leads to standard gauge…

High Energy Physics - Theory · Physics 2009-11-07 J. Lukierski , P. C. Stichel , W. J. Zakrzewski

We consider a general reducible gauge theory deformed by mass or/and interaction terms violating gauge invariance. It is shown that in the Abelian case, by using the Stueckelberg-type procedure, this theory with broken gauge symmetry can be…

High Energy Physics - Theory · Physics 2026-05-12 A. A. Averianov , A. O. Barvinsky , I. L. Buchbinder , V. A. Krykhtin , D. V. Nesterov

In this paper we extend the projective symmetry of the full metric-affine Einstein-Hilbert theory to a new symmetry transformation in the space of affine connections called the amplified symmetry. We prove that the Lagrangian of the…

General Relativity and Quantum Cosmology · Physics 2021-07-28 A. García-Parrado , E. Minguzzi

In this paper general abelian gauge field theories interacting with matter fields are quantized on a closed and orientable Riemann surface $\Sigma$. The approach used is that of small perturbations around topologically nontrivial classical…

High Energy Physics - Theory · Physics 2007-05-23 F. Ferrari

We study non-Abelian fields in the context of very special relativity (VSR). For this we define the covariant derivative and the gauge field gauge transformations, both of them involving a fixed null vector $n_{\mu}$, related to the VSR…

High Energy Physics - Theory · Physics 2013-11-14 Jorge Alfaro , Victor O. Rivelles

Multiflavor gauge theories of matter systems on a three-dimensional lattice have recently been widely investigated especially in connection with a possible symmetry enlargement at a continuous phase transition. Abelian models were studied…

High Energy Physics - Lattice · Physics 2024-11-25 D. Babusci , F. Palumbo

We perform a systematic analysis of the conditions under which \textit{generalized} gauge field theories of compact semisimple Lie groups exhibit electrostatic spherically symmetric non-topological soliton solutions in three space…

High Energy Physics - Theory · Physics 2008-11-26 Joaquin Diaz-Alonso , Diego Rubiera-Garcia

In a previous paper \cite{Simple} it was shown that the BRST charge $Q$ for any gauge model with a Lie algebra symmetry may be decomposed as $Q=\del+\del^{\dag},\;\;\;\del^2=\del^{\dag 2}=0,\;\;\;[\del, \del^{\dag}]_+=0$ provided dynamical…

High Energy Physics - Theory · Physics 2009-10-22 Robert Marnelius

The variety of consistent "gauging" deformations of supergravity theories in four dimensions depends on the choice of Lagrangian formulation. One important goal is to get the most general deformations without making hidden assumptions.…

High Energy Physics - Theory · Physics 2018-02-14 Marc Henneaux , Bernard Julia , Victor Lekeu , Arash Ranjbar

This work develops a procedure to find classes of Lagrangian densities that describe generalizations of the Abelian Maxwell-Higgs, the Chern-Simons-Higgs and the Maxwell-Chern-Simons-Higgs models. The investigation focuses on the…

High Energy Physics - Theory · Physics 2018-07-17 D. Bazeia , L. Losano , M. A. Marques , R. Menezes , I. Zafalan