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We compute, for massive particles, the explicit Wigner rotations of one-particle states for arbitrary Lorentz transformations; and the explicit Hermitian generators of the infinite-dimensional unitary representation. For a pair of spin 1/2…

Quantum Physics · Physics 2007-05-23 Chopin Soo , Cyrus C. Y. Lin

This work is an application of the second order gauge theory for the Lorentz group, where a description of the gravitational interaction is obtained which includes derivatives of the curvature. We analyze the form of the second field…

General Relativity and Quantum Cosmology · Physics 2015-02-24 R. R. Cuzinatto , C. A. M. de Melo , L. G. Medeiros , P. J. Pompeia

We demonstrate the one-to-one correspondence between reparametrization invariant effective actions for relativistic p-branes in flat target space and effective actions for transverse brane perturbations with non-linearly realized Poincar\'e…

High Energy Physics - Theory · Physics 2013-08-09 Patrick Cooper

We discuss $d=1, {\cal N}=2$ supersymmetric matrix models and exhibit the associated $d=2$ collective field theory in the limit of dense eigenvalues. From this theory we construct, by the addition of several new fields, a $d=2$…

High Energy Physics - Theory · Physics 2009-10-22 R. Brustein , M. Faux , B. Ovrut

The idea that local Lorentz invariance might be violated due to new physics that goes beyond the Standard Model of particle physics and Einstein's General Relativity has received a great deal of interest in recent years. At the same time,…

High Energy Physics - Phenomenology · Physics 2015-06-12 Robert Bluhm

We consider a collinear effective theory of highly energetic quarks with energy E, interacting with collinear and soft gluons by integrating out collinear degrees of freedom to subleading order. The collinear effective theory offers a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Junegone Chay , Chul Kim

Recently, sum rules were derived for the inverse eigenvalues of the Dirac operator. They were obtained in two different ways: i) starting from the low-energy effective Lagrangian and ii) starting from a random matrix theory with the…

High Energy Physics - Theory · Physics 2016-09-06 M. A. Halasz , J. J. M. Verbaarschot

The structure of integrable field theories in the presence of defects is discussed in terms of boundary functions under the Lagrangian formalism. Explicit examples of bosonic and fermionic theories are considered. In particular, the…

High Energy Physics - Theory · Physics 2008-11-26 J. F. Gomes , L. H. Ymai , A. H. Zimerman

The question of Lorentz invariance for finite N approximations of relativistic membranes is addressed. We find that one of the classical manifestations of Lorentz-invariance is not possible for NxN matrices (at least when N=2 or 3). How the…

High Energy Physics - Theory · Physics 2011-05-25 Jens Hoppe , Maciej Trzetrzelewski

On the basis of a new method to derive the effective action the nonperturbative concept of "dynamical generation" is explained. A non-trivial, non-Hermitian and PT-symmetric solution for Wightman's scalar field theory in four dimensions is…

High Energy Physics - Theory · Physics 2009-11-11 F. Kleefeld

We classify higher-order Maxwell-Einstein theories linear in the curvature tensor and quadratic in the derivatives of the electromagnetic field strength whose kinetic matrices are degenerate. This provides a generalisation of quadratic…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Aimeric Colléaux , Karim Noui

An effective theory is proposed, combining the standard gauge group $SU(3)_{C}\otimes SU(2)_{L}\otimes U(1)_{Y}$ with a horizontal discrete symmetry. By assigning appropriate charges under this discrete symmetry to the various fermion…

High Energy Physics - Phenomenology · Physics 2009-10-22 D. S. Shaw , R. R. Volkas

We describe the most general local, Lorentz-invariant, effective field theory of scalars, fermions and gauge bosons up to mass dimension 6. We first obtain both a Green and a physical basis for such an effective theory, together with the…

High Energy Physics - Phenomenology · Physics 2025-01-24 Renato M. Fonseca , Pablo Olgoso , José Santiago

We develop the BRST approach to gauge invariant Lagrangian construction for the massive mixed symmetry integer higher spin fields described by the rank-two Young tableaux in arbitrary dimensional Minkowski space. The theory is formulated in…

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

We introduce a Lagrangian-space Effective Field Theory (LEFT) formalism for the study of cosmological large scale structures. Unlike the previous Eulerian-space construction, it is naturally formulated as an effective field theory of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Rafael A. Porto , Leonardo Senatore , Matias Zaldarriaga

In subleading powers of soft-collinear effective theory (SCET), the Lagrangian contains couplings between soft quarks and hard-collinear quarks. Matrix elements of the hard-collinear parts of these couplings are radiative jet functions. In…

High Energy Physics - Phenomenology · Physics 2024-04-02 Geoffrey T. Bodwin , June-Haak Ee , Daekyoung Kang , Xiang-Peng Wang

The current paper introduces classical, relativistic Lagrangians for point-particle analogs to the field theory description of the Standard-Model Extension (SME) for Lorentz violation. Lagrangians of a form alternative to those derived and…

High Energy Physics - Phenomenology · Physics 2026-03-10 João A. A. S. Reis , Marco Schreck , Ronaldo Thibes

We explore the breaking of Lorentz and CPT invariance in strong interactions at low energy in the framework of chiral perturbation theory. Starting from the set of Lorentz-violating operators of mass-dimension five with quark and gluon…

High Energy Physics - Phenomenology · Physics 2016-08-17 J. P. Noordmans , J. de Vries , R. G. E. Timmermans

Electromagnetic (EM) interactions are incorporated in a recently proposed effective field theory of the nuclear many-body problem. Earlier work with this effective theory exhibited EM couplings that are correct only to lowest order in both…

Nuclear Theory · Physics 2008-11-26 Brian D. Serot

Using effective-lagrangian techniques we perform a systematic survey of the lowest-dimension effective interactions through which heavy physics might manifest itself in present experiments. We do not restrict ourselves to special classes of…

High Energy Physics - Phenomenology · Physics 2009-10-22 C. P. Burgess , S. Godfrey , H. König , D. London , I. Maksymyk