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Methods of Bosonic and Fermionic Path Integrals Representations : (Record no. 59574)

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000 -LEADER
fixed length control field 08115nam a22004813i 4500
001 - CONTROL NUMBER
control field EBC3018325
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124057.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2008 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781607419082
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781604560688
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3018325
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3018325
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr10660186
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)430195936
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC174.17.P27 -- B679 2009eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.14/3
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Botelho, Luiz C. L.
245 10 - TITLE STATEMENT
Title Methods of Bosonic and Fermionic Path Integrals Representations :
Remainder of title Continuum Random Geometry in Quantum Field Theory.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture New York :
Name of producer, publisher, distributor, manufacturer Nova Science Publishers, Incorporated,
Date of production, publication, distribution, manufacture, or copyright notice 2008.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2009.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (352 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- METHODS OF BOSONIC AND FERMIONIC PATH INTEGRALS REPRESENTATIONS: CONTINUUM RANDOM GEOMETRY IN QUANTUM FIELD THEORY -- Contents -- About This Monograph (ForewordI) -- Loop Space Path Integrals Representations for Euclidean Quantum Fields Path Integrals and the Covariant Path Integral -- 1.1. Introduction -- 1.2. The Bosonic Loop Space Formulation of the O(N)-Scalar Field Theory -- 1.3. A Fermionic Loop Space for QCD -- 1.4. Invariant Path Integration and the Covariant Functional Measure for Einstein Gravitation Theory -- References -- Appendix A. -- Appendix B. -- Appendix C. -- Appendix D. -- Appendix E. -- Path Integrals Evaluations in Bosonic Random Loop Geometry-Abelian Wilson Loops -- 2.1. Introduction -- 2.2. Abelian Wilson Loop Interaction at Finite Temperature -- 2.3. The Static Confining Potential for Q.C.D. in the Mandel-stam Model through Path Integrals -- Path-Integrals on Quantum Magnetic Monopoles -- References -- The Triviality-Quantum Decoherence of Quantum Chromodynamics SU(∞) in the Presence of an External Strong White-Noise Eletromagnetic Field -- 3.1. Introduction -- 3.2. The Triviality-Quantum Decoherence Analysis -- 3.3. Random Surface Dynamical Factor in the Analytical Regularization Scheme -- 3.4. The Non-relativistic Case -- 3.5. The Static Confining Potential in a Tensor Axion Model -- 3.6. The Confining Potential on the Axion-String Model in the Axion Higher-Energy Region -- 3.7.A λφ4 String Field Theory as a Dynamics of Self Avoiding Random Surfaces -- Appendix A. -- Appendix B. -- References -- The Confining Behaviour and Asymptotic Freedom for QCD(SU(∞))- A Constant Gauge Field Path Integral Analysis -- 4.1. Introduction -- 4.2. The Model and Its Confining Behavior -- 4.3. The Path-Integral Triviality Argument for the Thirring Model at SU(∞) -- 4.4. The Loop Space Argument for the Thirring Model Triviality.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note References -- Triviality-Quantum Decoherence of Fermionic Quantum Chromodynamics SU(Nc) in the Presence of an External Strong U(∞) Flavored Constant noise Field -- 5.1. Introduction -- 5.2. The Triviality-Quantum Decoherence Analysis for Quantum Chromodynamics -- Appendix A. -- Appendix B. -- References -- Fermions on the Lattice by Means of Mandelstam-Wilson Phase Factors: A Bosonic Lattice Path-Integral Framework -- 6.1. Introduction -- 6.2. The Framework -- References -- A Connection between Fermionic Strings and Quantum Gravity States-A Loop Space Approach -- 7.1. Introduction -- 7.2. The Loop Space Approach for Quantum Gravity -- 7.3. The Wheeler-De Witt Geometrodynamical Propagator -- 7.4. A λφ4 Geometrodynamical Field Theory for Quantum Gravity -- Appendix A -- References -- A Fermionic Loop Wave Equation for Quantum Chromodynamics at Nc=+∞ -- 8.1. Introduction -- 8.2. The Fermionic Loop Wave Equation -- References -- String Wave Equations in Polyakov's Path Integral Framework -- 9.1. Introduction -- 9.2. The Wave Equation in Covariant Particle Dynamics -- 9.3. The Wave Equation in the Covariant Bosonic String Dynamics -- 9.4. A String Solution for the QCD [SU(∞)] Bosonic Contour Average Equation -- 9.5. The Neveu-Schwarz String Wave Equation -- Appendix A. -- Appendix B. -- Appendix C. -- Appendix D. -- Appendix E. -- References -- A Random Surface Membrane Wave Equation for Bosonic Q.C.D.(SU(∞)) -- 10.1. Introduction -- 10.2. The Random Surface Wave Functional -- 10.3. A Connection with Q.C.D (SU(∞)) -- Appendix A. -- Appendix B. -- References -- Covariant Functional Diffusion Equation for Polyakov's Bosonic String -- 11.1. Introduction -- 11.2. The Covariant Equation -- 11.3. The Wheeler-De Witt Equation as a Functional Diffusion Equation -- References -- Covariant Path Integral for Nambu-Goto String Theory -- 12.1. Introduction.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 12.2. The Nambu-Goto Full Path Integral -- References -- Topological Fermionic String Representation for Chern-Simons Non-Abelian Gauge Theories -- 13.1. Introduction -- 13.2. The Fermionic String Representation -- References -- Fermionic String Representation for the Three-Dimensional Ising Model -- 14.1. Introduction -- 14.2. The Proposed String Theory -- References -- A Polyakov Fermionic String as a Quantum State of Einstein Theory of Gravitation -- 15.1. Introduction -- 15.2. The Quantum Gravity String -- References -- A Scattering Amplitude in the Quantum Geometry of Fermionic Strings -- 16.1. Introduction -- 16.2. The Scattering Amplitude -- References -- Path-Integral Bosonization for the Thirring Model on a Riemann Surface -- 17.1. Introduction -- 17.2. The Path-Integral Bosonization on a Riemann Surface -- References -- A Path-Integral Approach for Bosonic Effective Theories for Fermion Fields in Four and Three Dimensions -- 18.1. Introduction -- 18.2. The Bosonic High-Energy Effective Theory -- 18.3. The Bosonic Low-Energy Effective Theory -- 18.4. Polyakov's Fermi-Bose Transmutation in 3D Abelian-Thirring Model -- 18.5. Effective Four-Dimensional Bosonic Actions- Some Comments -- 18.6. The Triviality of the Abelian-Thirring Quantum Field Model -- Appendix A -- References -- Domains of Bosonic Functional Integrals and Some Applications to the Mathematical Physics of Path Integrals and String Theory -- 19.1. Introduction -- 19.2. The Euclidean Schwinger Generating Functional as a Functional Fourier Transform -- 19.3. The Support of Functional Measures- The Minlos Theorem -- 19.4. Some Rigorous Quantum Field Path Integral in the Analytical Regularization Scheme -- 19.5. Remarks on the Theory of Integration of Functionals on Distributional Spaces and Hilbert-Banach Spaces -- Appendix A -- Appendix B -- References.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note Non-linear Diffusionin RD and in Hilbert Spaces, a Path Integral Study -- 20.1. Introduction -- 20.2. The Non-linear Diffusion -- 20.3. The Linear Diffusion in the Space L2(Ω) -- Appendix A. -- Appendix B. -- References -- Basics Integrals Representations in Mathematical Analysis of Euclidean Functional Integrals -- 21.1. On the Riesz-Markov Theorem -- 21.2.The L.Schwartz Representation Theorem on C∞(Ω)(Distribution Theory) -- 21.3. Equivalence of Gaussian Measures in Hilbert Spaces and Functional Jacobians -- SupplementaryAppendixes -- Appendix 22. A. -- Appendix 22. B. -- Appendix 22. C. -- Appendix 22. D. -- Appendix 22. E. -- Index.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Path integrals.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Integral representations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Probabilities.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Botelho, Luiz C. L.
Title Methods of Bosonic and Fermionic Path Integrals Representations
Place, publisher, and date of publication New York : Nova Science Publishers, Incorporated,c2008
International Standard Book Number 9781604560688
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3018325">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3018325</a>
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