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We consider the general ${\cal N}=1$ supersymmetric gauge theory with matter, regularized by higher covariant derivatives without breaking the BRST invariance, in the massless limit. In the $\xi$-gauge we obtain the (unrenormalized)…

High Energy Physics - Theory · Physics 2017-11-13 A. E. Kazantsev , M. B. Skoptsov , K. V. Stepanyantz

A gauge theory for a superalgebra that includes an internal gauge (G) and local Lorentz algebras, and that could describe the low energy particle phenomenology is constructed. These two symmetries are connected by fermionic supercharges.…

High Energy Physics - Theory · Physics 2014-07-07 Pedro D. Alvarez , Pablo Pais , Jorge Zanelli

We present the extension of the Lagrangian loop gauge invariant representation in such a way to include matter fields. The partition function of lattice compact U(1)-Higgs model is expressed as a sum over closed as much as open surfaces. We…

High Energy Physics - Theory · Physics 2009-10-28 J. M. Aroca , M. Baig , H. Fort , R. Siri

Open effective field theories provide a systematic framework for describing physical systems interacting with an environment whose microscopic details are unknown, unobservable, or uncalculable. A basic step in constructing any effective…

High Energy Physics - Theory · Physics 2026-05-25 Enrica Lausdei , Enrico Pajer

In this paper we generalize the quantum gauge transformation of Maxwell theory obtained through gaugeon formalism. The generalization is made by making the bosonic transformation parameter field-dependent. The Jacobian of vacuum functional…

High Energy Physics - Theory · Physics 2014-02-17 Sudhaker Upadhyay

The geometric Lagrangian theory (of arbitrary order) is based on the analysis of some basic mathematical objects such as: the contact ideal, the (exact) variational sequence, the existence of Euler-Lagrange and Helmholtz-Sonin forms, etc.…

dg-ga · Mathematics 2008-02-03 Dan Radu Grigore

In this letter we make use of the Background Field Method (BFM) to compute the effective potential of an SU(2) gauge field theory, in the presence of chemical potential and temperature. The main idea is to consider the chemical potential as…

High Energy Physics - Phenomenology · Physics 2009-11-11 M. Loewe , S. Mendizabal , J. C. Rojas

Massive dual spin zero fields are reconsidered in four spacetime dimensions. A closed-form Lagrangian is presented that describes a field coupled to the gradient of its own energy-momentum tensor.

High Energy Physics - Theory · Physics 2020-01-08 Thomas Curtright

A Lagrangian depending on geometric variables (metric, affine connection, gauge group generators) is given which maintains compatibility with General Relativity. It generates the dynamics for Electromagnetism and other Gauge Fields along…

General Physics · Physics 2010-08-17 Juan Andres Musante

We show that in a spontaneously broken effective gauge field theory, quantized in a general background $R_\xi$-gauge, also the background fields undergo a non-linear (albeit background-gauge invariant) field redefinition induced by…

High Energy Physics - Theory · Physics 2021-02-23 Andrea Quadri

For large values of the Higgs boson mass the low energy structure of the gauged linear sigma model in the spontaneously broken phase can adequately be described by an effective field theory. In this work we present a manifestly gauge…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Nyffeler , A. Schenk

We reformulate Super Quantum Mechanics in the context of integral forms. This framework allows to interpolate between different actions for the same theory, connected by different choices of Picture Changing Operators (PCO). In this way we…

High Energy Physics - Theory · Physics 2018-05-09 L. Castellani , R. Catenacci , P. A. Grassi

We formulate a general gauge invariant Lagrangian construction describing the dynamics of massive higher spin fermionic fields in arbitrary dimensions. Treating the conditions determining the irreducible representations of Poincare group…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , V. A. Krykhtin , L. L. Ryskina , H. Takata

We derive the finite one-loop counterterm required to restore the Ward Identities broken by the regularization scheme in chiral gauge theories. Our result is an analytic expression applicable to a wide class of regularizations satisfying a…

High Energy Physics - Phenomenology · Physics 2023-03-22 Claudia Cornella , Ferruccio Feruglio , Luca Vecchi

We argue that the effective gauge group for {\it pure} four-dimensional loop quantum gravity(LQG) is SO(3) (or $SO(3,C)$) instead of SU(2) (or $SL(2,C)$). As a result, links with half-integer spins in spin network states are not realized…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Chung-Hsien Chou , Yi Ling , Chopin Soo , Hoi-Lai Yu

We present a new systematic method for evaluating generalized log-sine integrals in terms of polylogarithms. Our approach is based on an identity connecting ordinary generating functions of polylogarithms to integrals involving the sine…

Number Theory · Mathematics 2025-08-11 Noam Shalev

It has been shown that by using a Lagrange multiplier field to ensure that the classical equations of motion are satisfied, radiative effects beyond one-loop order are eliminated. It has also been shown that through the contribution of some…

High Energy Physics - Theory · Physics 2024-04-18 D. G. C. McKeon , F. T. Brandt , S. Martins-Filho

We present a new gauge fixing condition for the Weinberg-Salam electro-weak theory at finite temperature and density. After spontaneous symmetry breaking occurs, every unphysical term in the Lagrangian is eliminated with our gauge fixing…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Loewe , S. Mendizabal , J. C. Rojas

We use Gaudin's Fermi-Bose mapping operator to calculate exact solutions for the Lieb-Liniger model in a linear (constant force) potential (the constructed exact stationary solutions are referred to as the Lieb-Liniger-Airy wave functions).…

Quantum Gases · Physics 2010-08-16 D. Jukić , S. Galić , R. Pezer , H. Buljan

I show that under certain conditions it is possible to define consistent irrelevant deformations of interacting conformal field theories. The deformations are finite or have a unique running scale ("quasi-finite"). They are made of an…

High Energy Physics - Theory · Physics 2009-11-10 Damiano Anselmi