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A. Makhlin - One of the best experts on this subject based on the ideXlab platform.

  • Quantum Field kinetics.
    Physical review. C Nuclear physics, 1995
    Co-Authors: A. Makhlin
    Abstract:

    Using the general framework of Quantum Field theory, we derive basic equations of Quantum Field kinetics. The main goal of this approach is to compute the observables associated with a quark-gluon plasma at different stages of its evolution. We start by rewriting the integral equations for the Field correlators in different forms, depending on the relevant dynamical features at each different stage. Next, two versions of perturbation expansion are considered. The first is best suited for the calculation of electromagnetic emission from chaotic, but not equilibrated, strongly interacting matter. The seocnd version allows one to derive evolution equations, which are generalizations of the familiar QCD evolution equations, and provide a basis for the calculation of the initial quark and gluon distributions after the first hard interaction of the heavy ions.

  • Nonequilibrium Quantum Field Kinetics
    arXiv: High Energy Physics - Phenomenology, 1993
    Co-Authors: A. Makhlin
    Abstract:

    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 quark-gluon plasma which is out of thermal and chemical equilibrium. We show that in the regime of high rate of the phase and statistical mixing the perturbation theory for many-body Quantum Field system should have the form which much differs from the standard expansion in powers of coupling constant. ( Figures can be obtained from the author )

Robert M. Wald - One of the best experts on this subject based on the ideXlab platform.

  • Axiomatic Quantum Field theory in curved spacetime
    Communications in Mathematical Physics, 2009
    Co-Authors: Stefan Hollands, Robert M. Wald
    Abstract:

    The usual formulations of Quantum Field theory in Minkowski spacetime make crucial use of features--such as Poincare invariance and the existence of a preferred vacuum state--that are very special to Minkowski spacetime. In order to generalize the formulation of Quantum Field theory to arbitrary globally hyperbolic curved spacetimes, it is essential that the theory be formulated in an entirely local and covariant manner, without assuming the presence of a preferred state. We propose a new framework for Quantum Field theory, in which the existence of an Operator Product Expansion (OPE) is elevated to a fundamental status, and, in essence, all of the properties of the Quantum Field theory are determined by its OPE. We provide general axioms for the OPE coefficients of a Quantum Field theory. These include a local and covariance assumption (implying that the Quantum Field theory is locally and covariantly constructed from the spacetime metric), a microlocal spectrum condition, an "associativity" condition, and the requirement that the coefficient of the identity in the OPE of the product of a Field with its adjoint have positive scaling degree. We prove curved spacetime versions of the spin-statistics theorem and the PCT theorem. Some potentially significant further implications of our new viewpoint on Quantum Field theory are discussed.

  • The Formulation of Quantum Field Theory in Curved Spacetime
    arXiv: General Relativity and Quantum Cosmology, 2009
    Co-Authors: Robert M. Wald
    Abstract:

    The usual formulations of Quantum Field theory in Minkowski spacetime make crucial use of Poincare symmetry, positivity of total energy, and the existence of a unique, Poincare invariant vacuum state. These and other key features of Quantum Field theory do not generalize straightforwardly to curved spacetime. We discuss the conceptual obstacles to formulating Quantum Field theory in curved spacetime and how they can be overcome

  • Quantum Field theory in curved spacetime and black hole thermodynamics
    1994
    Co-Authors: Robert M. Wald
    Abstract:

    In this book, Robert Wald provides a pedagogical introduction to the formulation of Quantum Field theory in curved spacetime. He begins with a treatment of the ordinary one-dimensional Quantum harmonic oscillator, progresses through the construction of Quantum Field theory in flat spacetime to possible constructions of Quantum Field theory in curved spacetime, and, ultimately, to an algebraic formulation of the theory. In his presentation, Wald disentangles essential features of the theory from inessential ones (such as a particle interpretation) and clarifies relationships between various approaches to the formulation of the theory. He also provides a comprehensive, up-to-date account of the Unruh effect, the Hawking effect, and some of its ramifications. In particular, the subject of black hole thermodynamics, which remains an active area of research, is treated in depth. This book is intended for students and researchers who have had introductory courses in general relativity and Quantum Field theory, and should be of interest to scientists in general relativity and related Fields.

François Martin - One of the best experts on this subject based on the ideXlab platform.

  • Quantum Field Theory of the Human Psyche Quantum Field Theory of the Human Psyche Quantum Field Theory of the Human Psyche Quantum Field Theory of the Human Psyche
    2005
    Co-Authors: Belal E. Baaquie, François Martin
    Abstract:

    Abstract Abstract Abstract We postulate that the human psyche is a particular excitation of an underlying universal psychic (consciousness) Quantum Field. The human psyche is postulated to have a representation similar to a Quantum system, with virtual and physical states corresponding to the potentiality and actuality of the human mind. We postulate that free will plays a central role in the transition from pot entiality to actuality and vice versa. We model the psyche as a non-Abelian and supersymmetric Quantum Field, with its interactions mediated by another supersymmetric vector Quantum Field. We propose a model for the ground state of the human species, and s how how an individual's psyche is created as excitations on the individual's ground state. We briefly give a Quantum description of the waking and sleeping states of the human psyche, and lastly propose a model for the substructure of the human psyche base d on the ideas of bound and entangled states.

Stefan Hollands - One of the best experts on this subject based on the ideXlab platform.

  • Recent mathematical developments in Quantum Field theory
    Oberwolfach Reports, 2016
    Co-Authors: Abdelmalek Abdesselam, Stefan Hollands, Christoph Kopper, Gandalf Lechner
    Abstract:

    This workshop has focused on three areas in mathematical Quantum Field theory and their interrelations: 1) conformal Field theory, 2) constructions of interacting models of Quantum Field theory by various methods, and 3) several approaches studying the interplay of Quantum Field theory and gravity.

  • Axiomatic Quantum Field theory in curved spacetime
    Communications in Mathematical Physics, 2009
    Co-Authors: Stefan Hollands, Robert M. Wald
    Abstract:

    The usual formulations of Quantum Field theory in Minkowski spacetime make crucial use of features--such as Poincare invariance and the existence of a preferred vacuum state--that are very special to Minkowski spacetime. In order to generalize the formulation of Quantum Field theory to arbitrary globally hyperbolic curved spacetimes, it is essential that the theory be formulated in an entirely local and covariant manner, without assuming the presence of a preferred state. We propose a new framework for Quantum Field theory, in which the existence of an Operator Product Expansion (OPE) is elevated to a fundamental status, and, in essence, all of the properties of the Quantum Field theory are determined by its OPE. We provide general axioms for the OPE coefficients of a Quantum Field theory. These include a local and covariance assumption (implying that the Quantum Field theory is locally and covariantly constructed from the spacetime metric), a microlocal spectrum condition, an "associativity" condition, and the requirement that the coefficient of the identity in the OPE of the product of a Field with its adjoint have positive scaling degree. We prove curved spacetime versions of the spin-statistics theorem and the PCT theorem. Some potentially significant further implications of our new viewpoint on Quantum Field theory are discussed.

Kimyeong Lee - One of the best experts on this subject based on the ideXlab platform.

  • Localization techniques in Quantum Field theories
    J.Phys.A, 2017
    Co-Authors: Vasily Pestun, Maxim Zabzine, Francesco Benini, Tudor Dimofte, Thomas T Dumitrescu, Kazuo Hosomichi, Kimyeong Lee, Seok Kim, Bruno Le Floch, Marcos Marino
    Abstract:

    This is the foreword to the special issue on localization techniques in Quantum Field theory. The summary of individual chapters is given and their interrelation is discussed.

  • localization techniques in Quantum Field theories
    arXiv: High Energy Physics - Theory, 2016
    Co-Authors: Vasily Pestun, Maxim Zabzine, Francesco Benini, Tudor Dimofte, Thomas T Dumitrescu, Kazuo Hosomichi, Seok Jin Kim, Kimyeong Lee
    Abstract:

    This is the foreword to the special volume on localization techniques in Quantum Field theory. We summarize the individual chapters and their relation.