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A discussion of different criteria of consistency of quantum field theory from the point of view of physics and mathematics.

History and Philosophy of Physics · Physics 2008-02-03 Howard J. Schnitzer

We review recent developments for the description of far-from-equilibrium dynamics of quantum fields and subsequent thermalization.

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Berges , J. Serreau

We review recent developments for the description of nonequilibrium quantum fields, continuing hep-ph/0302210.

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Berges , J. Serreau

We review recent developments and open questions for the description of nonequilibrium quantum fields, continuing hep-ph/0302210 and hep-ph/0410330.

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Berges , Sz. Borsanyi

I discuss various topics in relativistic non-equilibrium field theory related to high energy physics and cosmology. I focus on non-perturbative problems and how they can be treated on the lattice.

High Energy Physics - Lattice · Physics 2009-10-31 Dietrich Bodeker

There has been substantial progress in recent years in the quantitative understanding of the nonequilibrium time evolution of quantum fields. Important topical applications, in particular in high energy particle physics and cosmology,…

High Energy Physics - Phenomenology · Physics 2010-02-04 J. Berges

The description of thermal or non-equilibrium systems necessitates a quantum field theory which differs from the usual approach in two aspects: 1.The Hilbert space is doubled; 2.Stable quasi-particles do not exist in interacting systems. A…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. A. Henning

We review a possible framework for (non)linear quantum theories, into which linear quantum mechanics fits as well, and discuss the notion of ``equivalence'' in this setting. Finally, we draw the attention to persisting severe problems of…

Quantum Physics · Physics 2007-05-23 Peter Nattermann

Conventional transport theory is not really applicable to non-equilibrium systems which exhibit strong quantum effects. We present two different approaches to overcome this problem. Firstly we point out how transport equations may be…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. A. Henning , K. Nakamura , Y. Yamanaka

Calculations of nonequilibrium processes become increasingly feasable in quantum field theory from first principles. There has been important progress in our analytical understanding based on 2PI generating functionals. In addition, for the…

High Energy Physics - Theory · Physics 2010-02-04 J. Berges , Sz. Borsanyi

Non equilibrium effective field theory is presented as an inhomogeneous field theory, using a formulation which is analogous to that of a gauge theory. This formulation underlines the importance of structural aspects of non-equilibrium,…

High Energy Physics - Theory · Physics 2007-05-23 Mark Burgess

We comment on the present status, the concepts and their limitations, and the successes and open problems of the various approaches to a relativistic quantum theory of elementary particles, with a hindsight to questions concerning quantum…

High Energy Physics - Theory · Physics 2008-11-26 Klaus Fredenhagen , Karl-Henning Rehren , Erhard Seiler

The time development of equal-time correlation functions in quantum mechanics and quantum field theory is described by an exact evolution equation for generating functionals. This permits a comparison between classical and quantum evolution…

High Energy Physics - Theory · Physics 2009-10-30 C. Wetterich

This is a review of some of the concepts and results of the effective field theory treatment of quantum general relativity. Included are lessons of low energy quantum gravity, and a discussion of the limits of effective field theory…

High Energy Physics - Theory · Physics 2023-01-12 John F. Donoghue

We present the proof of the equivalence theorem in quantum field theory which is based on a formulation of this problem in the field-antifield formalism. As an example, we consider a model in which a different choices of natural finite…

High Energy Physics - Theory · Physics 2009-10-31 I. V. Tyutin

Using the general framework of nonequilibrium statistical mechanics for relativistic quantum field systems we derive the basic equations of quantum field kinetics. The main aim of the approach is calculation of observables associated with…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Makhlin

The extreme electromagnetic or gravitational fields associated with some astrophysical objects can give rise to macroscopic effects arising from the physics of the quantum vacuum. Therefore, these objects are incredible laboratories for…

High Energy Astrophysical Phenomena · Physics 2012-09-21 Dan Mazur

Generalizing the noncommutative harmonic oscillator construction, we propose a new extension of quantum field theory based on the concept of "noncommutative fields". Our description permits to break the usual particle-antiparticle…

High Energy Physics - Theory · Physics 2009-11-10 J. M. Carmona , J. L. Cortes , J. Gamboa , F. Mendez

The physics of quantum gravity is discussed within the framework of topological quantum field theory. Some of the principles are illustrated with examples taken from theories in which space-time is three dimensional.

General Relativity and Quantum Cosmology · Physics 2009-10-28 John W. Barrett

Despite its non-linear form, entangled relativity possesses both general relativity and standard quantum field theory in a specific (but generic) limit. On one side it means that the theory is consistent with our current understanding of…

General Relativity and Quantum Cosmology · Physics 2023-04-20 Olivier Minazzoli
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