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We construct the most general chiral effective Lagrangian for baryon-baryon contact interactions in flavor SU(3) up to order q^2 using a covariant power counting. A subset of these contact terms contributes to the baryon-baryon potential in…

Nuclear Theory · Physics 2013-09-24 Stefan Petschauer , Norbert Kaiser

We study the impact of Lorentz violating terms on a physical observable for both electrodynamics of chiral matter and an Abelian Higgs-like model in $3+1$ dimensions. Our calculation is done within the framework of the gauge-invariant, but…

High Energy Physics - Theory · Physics 2018-11-14 Patricio Gaete , José A. Helayël-Neto

These lectures present an elementary introduction to quantum gauge fields. The first aim is to show how, in the tree approximation, gauge invariance follows from covariance and unitarity. This leads to the standard construction of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Becchi

According to the conventional concept of the gauge field theory, the local gauge invariance excludes the possibility of giving a mass to the gauge boson without resorting to the Higgs mechanism because the Lagrangian constructed by adding a…

High Energy Physics - Theory · Physics 2007-05-23 Jun-chen Su

In this paper we discuss how the gauge principle can be applied to classical-mechanics models with finite degrees of freedom. The local invariance of a model is understood as its invariance under the action of a matrix Lie group of…

Mathematical Physics · Physics 2022-03-03 B. F. Rizzuti , G. F. Vasconcelos

It is argued that the massive non-Abelian gauge field theory without involving Higgs bosons may be well established on the basis of gauge-invariance principle because the dynamics of the field is gauge-invariant in the physical space…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su

We propose a systematic procedure for extracting gauge invariant and gauge fixed actions for various higher-spin gauge field theories from covariant bosonic open string field theory. By identifying minimal gauge invariant part for the…

High Energy Physics - Theory · Physics 2015-06-11 Masako Asano

We show that the families of effective actions considered by Jacobson et al. to study Lorentz invariance violations contain a class of models that represent pure General Relativity with Euclidean signature. We also point out that some…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. Fernando Barbero G. , Eduardo J. S. Villaseñor

The generalization of Lorentz invariance to solvable two-dimensional lattice fermion models has been formulated in terms of Baxter's corner transfer matrix. In these models, the lattice Hamiltonian and boost operator are given by…

High Energy Physics - Lattice · Physics 2009-10-28 H. B. Thacker

For gauge theory, the matrix element for any physical process is independent of the gauge used. Since this is a formal statement and examples are known where gauge invariance is violated, for any specific process this gauge invariance needs…

High Energy Physics - Phenomenology · Physics 2018-12-10 Tai Tsun Wu , Sau Lan Wu

We discuss the issue of going off-shell in the proper time formalism. This is done by keeping a finite world sheet cutoff. We construct one example of an off-shell covariant Klein Gordon type interaction. For a suitable choice of the gauge…

High Energy Physics - Theory · Physics 2011-08-17 B. Sathiapalan

In the description of general covariance, the vierbein and the Lorentz connection can be treated as independent fundamental fields. With the usual gauge Lagrangian, the Lorentz connection is characterized by an asymptotically free running…

High Energy Physics - Theory · Physics 2017-08-16 John F. Donoghue

We still extend the large class of Dirac operators decribing massless fermions on the lattice found recently, only requiring that such operators decompose into Weyl operators. After deriving general relations and constructions of operators,…

High Energy Physics - Lattice · Physics 2014-11-17 Werner Kerler

Gauge invariance was discovered in the development of classical electromagnetism and was required when the latter was formulated in terms of the scalar and vector potentials. It is now considered to be a fundamental principle of nature,…

The invariance of extensions of the Standard Model under the full SU(3)XSU(2)XU(1) gauge group can be used to classify general vector bosons and to write their interactions in a model-independent fashion. This description is useful for both…

High Energy Physics - Phenomenology · Physics 2011-07-06 Manuel Perez-Victoria

We show that the Lagrangian for Lovelock-Cartan gravity theory can be re-formulated as an action which leads to General Relativity in a certain limit. In odd dimensions the Lagrangian leads to a Chern-Simons theory invariant under the…

High Energy Physics - Theory · Physics 2015-02-11 P. K. Concha , D. M. Peñafiel , E. K. Rodríguez , P. Salgado

We generalise the $\eta$ regularisation scheme in order to develop a framework for systematically studying regularisation of loops in quantum field theory. This allows us to "solve" a set of gauge consistency conditions for families of…

High Energy Physics - Theory · Physics 2024-12-18 Antonio Padilla , Robert G. C. Smith

A successful effective field theory program requires besides the most general effective Lagrangian a perturbative expansion scheme for observables in terms of a consistent power counting method. We discuss a renormalization scheme for…

High Energy Physics - Phenomenology · Physics 2015-06-25 Stefan Scherer

The causal perturbation theory is an axiomatic perturbative theory of the S-matrix. This formalism has as its essence the following axioms: causality, Lorentz invariance and asymptotic conditions. Any other property must be showed via the…

High Energy Physics - Theory · Physics 2017-09-25 R. Bufalo , B. M. Pimentel , D. E. Soto

In this letter we reconsider the role of Lorentz invariance in the dynamical generation of the observed internal symmetries. We argue that, generally, Lorentz invariance can only be imposed in the sense that all Lorentz non-invariant…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. L. Chkareuli , C. D. Froggatt , H. B. Nielsen