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In this talk, we briefly review the basic concepts of anomalous gauge theories. It has been known for some time how theories with local anomalies can be handled. Recently it has been pointed out that global anomalies, which obstruct the…

High Energy Physics - Theory · Physics 2007-05-23 P. Mitra

It is shown how quantum field theory at finite temperature can be used to set up self-consistent and gauge invariant equations for cosmological perturbations sustained by an ultrarelativistic plasma. While in the collisionless case, the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Anton K. Rebhan

Following the successful construction of the finite T real-time formalism in temporal axial gauge, we attempt to further study the equivalent new imaginary-time formalism of James and Landshoff based on the same Hamiltonian approach in the…

High Energy Physics - Theory · Physics 2009-09-25 S. M. H. Wong

The gauge field theories are usually quantized by fixing gauge. In this paper, we propose a new formalism that quantizes gauge fields without gauge fixing but naturally follows canonical formalism. New physical implications will follow.

High Energy Physics - Theory · Physics 2009-10-06 Tsuguo Mogami

In gauge theories, physical histories are represented by space-time connections modulo gauge transformations. The space of histories is thus intrinsically non-linear. The standard framework of constructive quantum field theory has to be…

High Energy Physics - Theory · Physics 2007-05-23 A. Ashtekar , J. Lewandowski , D. Marolf , J. Mourao , T. Thiemann

Some formulae for the perturbations of the matter fields are summarized within the framework of the second-order gauge-invariant cosmological perturbation theory in a four dimensional homogeneous isotropic universe, which is developed in…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Kouji Nakamura

The purpose of this paper is to investigate the gauge symmetry of classical field theories in integral formalism. A gauge invariant theory is defined in terms of the invariance of the physical observables under the coordinate…

High Energy Physics - Theory · Physics 2007-05-23 Chen Ying , He Bing , Lin He , Wu Ji-Min

A non-gauge dynamical system depending on parameters is considered. It is shown that these parameters can have such values that corresponding canonically quantized theory will be gauge invariant. The equations allowing to find these values…

High Energy Physics - Theory · Physics 2009-10-28 I. L. Buchbinder , V. D. Pershin , G. B. Toder

The progress of the last decade in perturbative quantum field theory at high temperature and density made possible by the use of effective field theories and hard-thermal/dense-loop resummations in ultrarelativistic gauge theories is…

High Energy Physics - Phenomenology · Physics 2010-01-15 Ulrike Kraemmer , Anton Rebhan

The two-loop effective action for the SU(3) gauge model in a constant background field ${\bar A}_0(x,t)=B_0^3T_3+B_0^8T_8$ is recalculated for a gauge with an arbitrary $\xi$-parameter. The gauge-invariant thermodynamical potential is found…

High Energy Physics - Theory · Physics 2009-10-22 O. K. Kalashnikov

It is will known that quantum field theory at the formal level is gauge invariant. However a calculation of the vacuum polarization tensor will include non-gauge invariant terms. These terms must be removed from the calculation in order to…

General Physics · Physics 2015-08-28 Dan Solomon

We study the second-order gauge-invariant adiabatic and isocurvature perturbations in terms of the scalar fields present during inflation, along with the related fully non-linear space gradient of these quantities. We discuss the relation…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-01 Eleftheria Tzavara , Bartjan van Tent

I point out two of the subtleties referred to in the title. The first is that gauge-invariant magnetic systems may realized under general circumstances, as suggested by a simple theorem. The second subtlety is that care is needed to…

High Energy Physics - Lattice · Physics 2013-11-19 Peter Orland

We review the present status of gauge theories built on various quantum space-times described by noncommutative space-times. The mathematical tools and notions underlying their construction are given. Different formulations of gauge theory…

High Energy Physics - Theory · Physics 2023-03-28 Kilian Hersent , Philippe Mathieu , Jean-Christophe Wallet

We test at the electroweak scale the recently proposed elaborate theoretical scenario for real-time dynamics of non-abelian gauge theories at high temperature. We see no sign of the predicted behavior. This indicates that perturbative…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Ambjorn , K. N. Anagnostopoulos , A. Krasnitz

A perturbative framework is developed within the standard non-equilibrium field theory techniques to incorporate a temperature gradient across a thermoelectric device. The framework uses a temperature-dependent pseudo-Hamiltonian generated…

Mesoscale and Nanoscale Physics · Physics 2025-03-20 Yuan Gao , K. A. Muttalib

We examine finite temperature perturbation theory for Chern-Simons theories, in the context of an analogue 0+1-dimensional model. In particular, we show how nonextensive terms arise in the perturbative finite temperature effective action,…

High Energy Physics - Theory · Physics 2009-10-30 Ashok Das , Gerald Dunne

We establish a new framework of finite temperature field theory for Yang-Mills theories in the physical phase space eliminating all unphysical degrees of freedoms. Relating our method to the imaginary time formalism of James and Landshoff…

High Energy Physics - Phenomenology · Physics 2016-08-24 Herbert Nachbagauer

We present a formalism to study the metric perturbations of the Schwarzschild spacetime. The formalism is gauge invariant, and it is also covariant under two-dimensional coordinate transformations that leave the angular coordinates…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Karl Martel , Eric Poisson

We present a gauge-invariant framework for bubble nucleation in theories with radiative symmetry breaking at high temperature. As a procedure, this perturbative framework establishes a practical, gauge-invariant computation of the leading…

High Energy Physics - Phenomenology · Physics 2023-07-05 Johan Löfgren , Michael J. Ramsey-Musolf , Philipp Schicho , Tuomas V. I. Tenkanen