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General relativity with fermions has two independent symmetries: general coordinate invariance and local Lorentz invariance. General coordinate invariance is implemented by the Levi-Civita connection and by Cartan's tetrads both of which…

General Relativity and Quantum Cosmology · Physics 2022-10-18 Kevin Cahill

We propose a Lorentz-covariant Yang-Mills ``spin-gauge'' theory, where the function valued Pauli matrices play the role of a non-scalar Higgs-field. As symmetry group we choose $SU(2) \times U(1)$ of the 2-spinors describing…

General Relativity and Quantum Cosmology · Physics 2008-11-26 H. Dehnen , E. Hitzer

In this work consideration is given to massless and massive gauge-invariant spin 0 and spin 1 fields (particles) within the scope of a theory of the generalized relativistic wave equations with an extended set of the Lorentz group…

High Energy Physics - Theory · Physics 2010-02-04 V. A. Pletyukhov , V. I. Strazhev

In this work we construct a gauge invariant description of free massive particle with an arbitrary integer spin. Such description allows one to investigate the problem of consistent interactions for massive high spin particles using the…

High Energy Physics - Theory · Physics 2007-05-23 S. M. Klishevich , Yu. M. Zinoviev

A basis of Lorentz and gauge-invariant monomials in non--Abelian gauge theories with matter is described, applicable for the inverse mass expansion of effective actions. An algorithm to convert an arbitrarily given invariant expression into…

High Energy Physics - Theory · Physics 2008-02-03 Uwe Müller

Generalizing Deser's work on pure $SU(2)$ gauge theory, we consider scalar, spinor and vector matter fields transforming under arbitrary representations of a non-Abelian, compact, semisimple internal Lie group which is a global symmetry of…

General Physics · Physics 2019-01-28 Aniket Basu , Parthasarathi Majumdar , Indrajit Mitra

We consider the gauge-boson sector of a locally SU(2) x U(1) invariant effective Lagrangian with ten dimension-six operators added to the Lagrangian of the Standard Model. These operators induce anomalous three- and four-gauge-boson…

High Energy Physics - Phenomenology · Physics 2009-01-07 O. Nachtmann , F. Nagel , M. Pospischil , A. Utermann

General relativity dynamics can be derived from different actions -- which depart from the Einstein-Hilbert action in boundary terms -- and for different choices of the dynamical variables. Among them, the teleparallel equivalent of general…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Daniel Blixt , Rafael Ferraro , Alexey Golovnev , María-José Guzmán

The effective action of a Higgs theory should be gauge-invariant. However, the quantum and/or thermal contributions to the effective potential seem to be gauge-dependent, posing a problem for its physical interpretation. In this paper, we…

High Energy Physics - Theory · Physics 2009-10-30 S. -H. Henry Tye , Yan Vtorov-Karevsky

We analize the algebraic structure of consistent and covariant anomalies in gauge and gravitational theories: using a complex extension of the Lie algebra it is possible to describe them in a unified way. Then we study their representations…

High Energy Physics - Theory · Physics 2010-11-01 Luca Griguolo

It is proved that classical BRS-invariance of the Lagrangian implies perturbative gauge invariance for tree diagrams to all orders. The proof applies in particular to the Einstein Hilbert Largrangian of gravity.

High Energy Physics - Theory · Physics 2009-11-11 Michael Duetsch

We give a simplified and more complete description of the loop variable approach for writing down gauge invariant equations of motion for the fields of the open string. A simple proof of gauge invariance to all orders is given. In terms of…

High Energy Physics - Theory · Physics 2009-11-07 B. Sathiapalan

The first order form of a Maxwell theory and U(1) gauge theory in which a gauge invariant mass term appears is analyzed using the Dirac procedure. The form of the gauge transformation which leaves the action invariant is derived from the…

High Energy Physics - Theory · Physics 2015-06-03 N. Kiriushcheva , S. V. Kuzmin , D. G. C. McKeon

Employing induced representations of the Lorentz group (Wigner's little group construction), formalism for constructing heavy particle effective Lagrangians is developed, and Lagrangian constraints enforcing Lorentz invariance of the S…

High Energy Physics - Phenomenology · Physics 2013-05-30 Johannes Heinonen , Richard J. Hill , Mikhail P. Solon

A method is presented for the computation of the one-loop effective action at finite temperature and density. The method is based on an expansion in the number of spatial covariant derivatives. It applies to general background field…

High Energy Physics - Theory · Physics 2016-08-15 C. García-Recio , L. L. Salcedo

It is shown that gravitational coupling creates inertia for the electron. The coupling term does not mix right- and left-handed spinor components. Therefore, the corresponding electroweak term is invariant under U(1) X SU(2)_L gauge…

General Physics · Physics 2007-05-23 Kenneth Dalton

The possibility of having a gauge fixing term in the effective Lagrangian that is not a quadratic expression has been explored in spin-two theories so as to have a propagator that is both traceless and transverse. We first show how this…

High Energy Physics - Theory · Physics 2014-11-18 F. T. Brandt , D. G. C. McKeon

Recently, a new boson h has been discovered at the LHC which, so far, is compatible with the properties of the SM Higgs. However, the SM is not the most general low-energy dynamics for the minimal electroweak symmetry breaking sector with…

High Energy Physics - Phenomenology · Physics 2014-10-16 Rafael L. Delgado , Antonio Dobado , Felipe J. Llanes-Estrada

The properties of the effective field theory relevant for the low energy structure generated by the Goldstone bosons of a spontaneously broken symmetry are reexamined. It is shown that anomaly free, Lorentz invariant theories are…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Leutwyler

In this note we show that a "dynamical" interaction for arbitrary spin can be constructed in a straightforward way if gauge and Lorentz transformations are placed on the same foundation. As Lorentz transformations act on space-time…

High Energy Physics - Theory · Physics 2011-09-21 R. Saar , S. Groote , H. Liivat , I. Ots