Cover of: Covariant operator formalism of gauge theories and quantum gravity | Noboru Nakanishi

Covariant operator formalism of gauge theories and quantum gravity

  • 434 Pages
  • 1.63 MB
  • English
World Scientific , Singapore, Teaneck, NJ
Gauge fields (Physics), Quantum gravity., Quantum field th
StatementN. Nakanishi and I. Ojima.
SeriesWorld Scientific lecture notes in physics ;, v. 27
ContributionsOjima, I.
LC ClassificationsQC793.3.F5 N35 1990
The Physical Object
Paginationxv, 434 p. ;
ID Numbers
Open LibraryOL1863593M
ISBN 109971502380, 9971502399
LC Control Number90021412

Covariant Operator Formalism Of Gauge Theories And Quantum Gravity (World Scientific Lecture Notes in Physics ; Vol. 27) by N Nakanishi (Author) ISBN ISBN Why is ISBN important.

ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. Cited by: Nov 01,  · Covariant Operator Formalism of Gauge Theories and Quantum Gravity.

This book provides a thorough description of the manifestly covariant canonical formalism of the abelian and non-abelian gauge theories and quantum gravity. The emphasis is on its non-perturbative nature and the non-use of the path-integral approach.

Nov 01,  · COVARIANT OPERATOR FORMALISM OF GAUGE THEORIES AND QUANTUM GRAVITY. Edited by NAKANISHI N & OJIMA I. Published by World Scientific PressCited by: It is mediated by the electromagnetic field, which couples with every charged field in a gauge-invariant way.

The electromagnetic field is a prototype of the abelian gauge field, and therefore we regard both almost as synonym throughout this chapter, that is, we first intoduce A μ as the electromagnetic field and then regard it as a generic abelian gauge field without noticing so explicitly.

Covariant Operator Formalism Of Gauge Theories And Quantum Gravity. Series: World Scientific Lecture Notes in Physics, ISBN: WORLD SCIENTIFIC, Edited by N Nakanishi and I.

If the address matches an existing account you will receive an email with instructions to reset your password. Feb 07,  · In this manuscript, we will discuss the construction of covariant derivative operator in quantum gravity.

We will find it is more perceptive to use affine connections more general than metric compatible connections in quantum gravity. We will demonstrate this using the canonical quantization procedure. This is valid irrespective of the presence and nature of sources. The Palatini and metric Author: Kaushik Ghosh.

Quantum field theory is the fundamental theory of particle physics. In this chapter, we summarize its general features as the preliminaries for the succeeding chapters, though it is supposed that the readers are familiar with quantum field theory. To formulate a covariant operator formalism of non-abelian gauge theories, it is crucial to introduce the notion of BRS symmetry.

In this chapter, we present it as a quantized version of local gauge. 1 Spacetime as a quantum object. This book introduces the reader to a theory of quantum gravity. The theory is covariant loop quantum gravity (covariant LQG). It is a theory that has grown historically via a long indirect path, briefly summarized at the end of this chapter.

Dec 04,  · Covariant operator formalism of gauge theories and quantum gravity by Noboru Nakanishi; 1 edition; First published in ; Subjects: Gauge fields (Physics), Quantum field theory, Quantum gravity Covariant operator formalism of gauge theories and quantum gravity |.

In the second part, we review (including some new results) much of our covariant Hamiltonian formalism and apply it to Poincaré gauge theories of gravity (PG), with GR as a special case. The key point is that the Hamiltonian boundary term has two roles, it determines the quasi-local quantities, and furthermore, it determines the boundary.

Feb 01,  · Abstract. A manifestly covariant and local canonical operator formalism of non-Abelian gauge theories is presented in its full detail. This formalism, applicable to Yang-Mills theories as well as to gravity, not only provides us a transparent understanding in the scattering theoretical aspects, but also makes it possible to discuss other important problems directly related to the (Heisenberg Cited by: BibTeX @MISC{Theory92howto, author = {Two-dimensional Nonabelian Bf Theory and Mitsuo Abe and Noboru Nakanishi}, title = {How to Solve the Covariant Operator Formalism of Gauge Theories and Quantum Gravity in the Heisenberg Picture.

III}, year = {}}. Get this from a library. Covariant operator formalism of gauge theories and quantum gravity. [Noboru Nakanishi; I Ojima]. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The new method proposed previously for solving the covariant operator formalism of quantum Einstein gravity is applied to quantum electrodynamics as an exercise of the application to quantum chromodynamics.

The purposes of doing this are to establish the details of the method and to reconfirm the validity of the. The 't Hooft-Veltman gauge in four-dimensional quantum electrodynamics (QED 4) was proposed in the seventies to model Yang-Mills theories with complicated gauge structures.

The aim of the approach was to define good Lagrangians, that is, non-singular Lagrangians with well-defined propagators in theories with gauge symmetries, and to show that Author: G.B. de Gracia, B.M. Pimentel, L. Rabanal.

It is an extension of the covariant operator formalism of gauge theory based upon the BRS invariance: The subsidiary condition specifying physical states, the notion of observables, and the structure of the physical subspace at finite temperatures are clarified together with the key formula characterizing the temperature-dependent “vacuum”.Cited by: 1.

Covariant Operator Formalism of Gauge Theories and Quantum Gravity by Nakanishi, Noboru/ Ojima, I. and a great selection of related books, art and collectibles available now at As we will see, this leads to a theory of Covariant Loop Quantum Gravity [8, 11, 13], which uses the same techniques and tools as LQG but whose gauge group is the Lorentz group SL(2,C) instead of SU(2).

Let us start by reviewing the general structure of LQG and how the SU(2) gauge group arises.

Details Covariant operator formalism of gauge theories and quantum gravity FB2

In a first order formal. This report tries to give a status overview of the field of modern canonical quantum general relativity, sometimes called “loop quantum gravity”. The term “modern” accounts for the fact that this is a “connection dynamics” formulation ofEinstein’s theory, ratherthanthe original“geometrodynamics”.

Jan 01,  · A new method of solving quantum field theory in the Heisenberg picture, proposed previously, is applied to a unitary theory of a generally covariant Liouville-like field, which is constructed in the context of the two-dimensional quantum gravity.

The exact results of the covariant operator solution and the Wightman functions obtained previously in the R = 0 case are generalized to those in Cited by: 1. The dynamics of loop quantum gravity requires the construction of the Hamiltonian operator.

As in quantum field theories, this involves regularization, and the author shows how the Hamiltonian operator acts only on the nodes of the spin network, Cited by: There seems to be a profound interplay between spacetime symmetries and fundamental quantum charges observed at high energies.

We review the present status of emergent gauge theories. The perturbative quantum gravity as a gauge theory is a subject of current research with different aspects.

Such models of gravity were initially studied as attempts to unify gravity with electromagnetism. These are studied also due to their relevance in string theory.Cited by: Katarzyna Rejzner, The BV formalism applied to classical gravity ; Careful discussion of observables in gravity is in.

Igor Khavkine, Local and gauge invariant observables in gravity, talk at Operator and Geometric Analysis on Quantum Theory, preprint arXiv; Non-renormalizability. The result that gravity is not renormalizable is due to.

Ashtekar–Barbero variables of canonical quantum gravity. The introduction of Ashtekar variables cast general relativity in the same language as gauge theories. It was in particular the inability to have good control over the space of solutions to the Gauss' law and spatial diffeomorphism constraints that led Rovelli and Smolin to consider a new representation – the loop representation.

CovariantLoopQuantumGravity Quantum gravity is among the most fascinating problems in physics. It modifies our tetrad formalism, Holst action, lattice gauge theory, Regge calculus, ADM and Ashtekar focusing on its covariant formulation.

The book has grown from a. Abstract. In the covariant operator formalism of two-dimensional quantum gravity, the definition of Wightman functions is modified in such a way that the ones involving products of fields at the same spacetime points reproduce those of the conventional quantum field theory when gravity is switched off.

Jun 29,  · In particular, the geometrical observable giving the area of a surface has been shown to be the same as the one in loop quantum gravity.

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Here we discuss the volume observable. We derive the volume operator in the covariant theory and show that it matches the one of loop quantum gravity Cited by:. As well as cosmology, loop quantum gravity can be applied to the study of black holes. Loop quantum gravity is consistent with the Bekenstein-Hawking entropy formula and it predicts a logarithmic quantum correction to the entropy formula.

An extension of traditional loop quantum gravity is the path integral formalism, which is based on spinfoams.Gauge covariant derivative in different books.

Description Covariant operator formalism of gauge theories and quantum gravity PDF

Ask Question Asked 6 years, 11 months ago. Time ordering and time derivative in path integral formalism and operator formalism. 2. In nonabelian gauge theory, does the ordinary or covariant derivative go into the statement of current conservation?

1.Jun 30,  · Abstract. We construct perturbative quantum gravity in a generally covariant way. In particular our construction is background independent.

It is based on the locally covariant approach to quantum field theory and the renormalized Batalin–Vilkovisky by: