The Resource LQG for the Bewildered : The SelfDual Approach Revisited, by Deepak Vaid, Sundance BilsonThompson, (electronic resource)
LQG for the Bewildered : The SelfDual Approach Revisited, by Deepak Vaid, Sundance BilsonThompson, (electronic resource)
 Summary
 This primer offers a concise introduction to Loop Quantum Gravity (LQG)  a theoretical framework for uniting Quantum Mechanics (QM) with General Relativity (GR). The emphasis is on the physical aspects of the framework and its historical development in terms of selfdual variables, still most suited for a first, pedagogical encounter with LQG. The text starts by reviewing GR and the very basics of Quantum Field Theory (QFT), and then explains in a concise and clear manner the steps leading from the EinsteinHilbert action for gravity to the construction of the quantum states of geometry, known as spinnetworks, and which provide the basis for the kinematical Hilbert space of quantum general relativity. Along the way the various associated concepts of tetrads, spinconnection and holonomies are introduced. Having thus provided a minimal introduction to the LQG framework, some applications to the problems of black hole entropy and of quantum cosmology are briefly surveyed. Last but not least, a list of the most common criticisms of LQG is presented, which are then tackled one by one in order to convince the reader of the physical viability of the theory. A set of appendices provides accessible introductions to several key notions such as the PeterWeyl theorem, duality of differential forms and Regge calculus, among others. The presentation is aimed at graduate students and researchers who have some familiarity with the tools of QM and GR, but are intimidated by the technicalities required to browse through the existing LQG literature. This primer aims at making the formalism appear a little less bewildering to the uninitiated and helps lower the barrier for entry into the field
 Language
 eng
 Extent
 IX, 138 p. 16 illus., 4 illus. in color.
 Contents

 Introduction
 Classical GR
 Quantum Field Theory
 Expanding on classical GR
 First steps to a theory of Quantum Gravity
 Kinematical Hilbert Space
 Black Hole Entropy
 Discussion and recent developments
 Appendices: Conventions, Lie Derivative, ADM Variables, D Duality, Path Ordered Exponential, PeterWeyl Theorem, SquareFree Numbers, BrahmaguptaPell Equation, Quadratic Integers and the BP Equation, Kodama State, 3jsymbols, Regge Calculus
 Isbn
 9783319431840
 Label
 LQG for the Bewildered : The SelfDual Approach Revisited
 Title
 LQG for the Bewildered
 Title remainder
 The SelfDual Approach Revisited
 Statement of responsibility
 by Deepak Vaid, Sundance BilsonThompson
 Language
 eng
 Summary
 This primer offers a concise introduction to Loop Quantum Gravity (LQG)  a theoretical framework for uniting Quantum Mechanics (QM) with General Relativity (GR). The emphasis is on the physical aspects of the framework and its historical development in terms of selfdual variables, still most suited for a first, pedagogical encounter with LQG. The text starts by reviewing GR and the very basics of Quantum Field Theory (QFT), and then explains in a concise and clear manner the steps leading from the EinsteinHilbert action for gravity to the construction of the quantum states of geometry, known as spinnetworks, and which provide the basis for the kinematical Hilbert space of quantum general relativity. Along the way the various associated concepts of tetrads, spinconnection and holonomies are introduced. Having thus provided a minimal introduction to the LQG framework, some applications to the problems of black hole entropy and of quantum cosmology are briefly surveyed. Last but not least, a list of the most common criticisms of LQG is presented, which are then tackled one by one in order to convince the reader of the physical viability of the theory. A set of appendices provides accessible introductions to several key notions such as the PeterWeyl theorem, duality of differential forms and Regge calculus, among others. The presentation is aimed at graduate students and researchers who have some familiarity with the tools of QM and GR, but are intimidated by the technicalities required to browse through the existing LQG literature. This primer aims at making the formalism appear a little less bewildering to the uninitiated and helps lower the barrier for entry into the field
 Image bit depth
 0
 Literary form
 non fiction
 Label
 LQG for the Bewildered : The SelfDual Approach Revisited, by Deepak Vaid, Sundance BilsonThompson, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Classical GR  Quantum Field Theory  Expanding on classical GR  First steps to a theory of Quantum Gravity  Kinematical Hilbert Space  Black Hole Entropy  Discussion and recent developments  Appendices: Conventions, Lie Derivative, ADM Variables, D Duality, Path Ordered Exponential, PeterWeyl Theorem, SquareFree Numbers, BrahmaguptaPell Equation, Quadratic Integers and the BP Equation, Kodama State, 3jsymbols, Regge Calculus
 http://library.link/vocab/cover_art
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 unknown
 http://library.link/vocab/discovery_link
 {'f': 'http://opac.lib.rpi.edu/record=b4257720'}
 Extent
 IX, 138 p. 16 illus., 4 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319431840
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 online resource.
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/LQGfortheBewilderedTheSelfDualApproach/Zyzlzwu8ycM/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/LQGfortheBewilderedTheSelfDualApproach/Zyzlzwu8ycM/">LQG for the Bewildered : The SelfDual Approach Revisited, by Deepak Vaid, Sundance BilsonThompson, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>