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Quantum Gravity
, 2004
"... We describe the basic assumptions and key results of loop quantum gravity, which is a background independent approach to quantum gravity. The emphasis is on the basic physical principles and how one deduces predictions from them, at a level suitable for physicists in other areas such as string theor ..."
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Cited by 566 (11 self)
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We describe the basic assumptions and key results of loop quantum gravity, which is a background independent approach to quantum gravity. The emphasis is on the basic physical principles and how one deduces predictions from them, at a level suitable for physicists in other areas such as string theory, cosmology, particle physics, astrophysics and condensed matter physics. No details are given, but references are provided to guide the interested reader to the literature. The present state of knowledge is summarized in a list of 35 key results on topics including the hamiltonian and path integral quantizations, coupling to matter, extensions to supergravity and higher dimensional theories, as well as applications to black holes, cosmology and Plank scale phenomenology. We describe the near term prospects for observational tests of quantum theories of gravity and the expectations that loop quantum gravity may provide predictions for their outcomes. Finally, we provide answers to frequently asked questions and a list of key open problems.
Assigned Numbers
 STD 2, RFC 1700, USC/Information Sciences Institute
, 1994
"... Status of this Memo ..."
KodairaSpencer theory of gravity and exact results for quantum string amplitudes
 Commun. Math. Phys
, 1994
"... We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particu ..."
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Cited by 545 (60 self)
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We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particular realization of the N = 2 theories, the resulting string field theory is equivalent to a topological theory in six dimensions, the Kodaira– Spencer theory, which may be viewed as the closed string analog of the Chern–Simon theory. Using the mirror map this leads to computation of the ‘number ’ of holomorphic curves of higher genus curves in Calabi–Yau manifolds. It is shown that topological amplitudes can also be reinterpreted as computing corrections to superpotential terms appearing in the effective 4d theory resulting from compactification of standard 10d superstrings on the corresponding N = 2 theory. Relations with c = 1 strings are also pointed out.
Pricing congestible network resources
 IEEE Journal on Selected Areas in Communications
, 1995
"... We describe the basic economic theory of pricing a congestible resource such as an ftp server, a router, a Web site, etc. In particular, we examine the implications of “congestion pricing” as a way to encourage efficient use of network resources. We explore the implications of flat pricing and conge ..."
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Cited by 324 (8 self)
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We describe the basic economic theory of pricing a congestible resource such as an ftp server, a router, a Web site, etc. In particular, we examine the implications of “congestion pricing” as a way to encourage efficient use of network resources. We explore the implications of flat pricing and congestion pricing for capacity expansion in centrally planned, competitive, and monopolistic environments.
Modular Theory and Symmetry in QFT
 Proc.of the workshop on &quot;Mathematical Physics towards the 21st Century&quot; ed.R.N.Sen and A. Gersten, Ben Gurion University of the Negev Press
, 1994
"... The application of the TomitaTakesaki modular theory to the HaagKastler net approach in QFT yields external (spacetime) symmetries as well as internal ones (internal “gauge paragroups”) and their dual counterparts (the “super selection paragroup”). An attempt is made to develop a (speculative) ..."
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Cited by 2 (1 self)
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The application of the TomitaTakesaki modular theory to the HaagKastler net approach in QFT yields external (spacetime) symmetries as well as internal ones (internal “gauge paragroups”) and their dual counterparts (the “super selection paragroup”). An attempt is made to develop a (speculative
On Renormalization Group in Abstract QFT
, 2000
"... QFT A. Mironov A. Morozov Vienna, Preprint ESI 893 (2000) June 8, 2000 Supported by Federal Ministry of Science and Transport, Austria Available via anonymous ftp from FTP.ESI.AC.AT or via WWW, URL: http://www.esi.ac.at FIAN/TD11/00 ITEP/TH26/00 hepth/yymmnnn On Renormalization Group in ..."
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QFT A. Mironov A. Morozov Vienna, Preprint ESI 893 (2000) June 8, 2000 Supported by Federal Ministry of Science and Transport, Austria Available via anonymous ftp from FTP.ESI.AC.AT or via WWW, URL: http://www.esi.ac.at FIAN/TD11/00 ITEP/TH26/00 hepth/yymmnnn On Renormalization Group
Unique factorization in perturbative QFT
, 2002
"... We discuss factorization of the Dyson–Schwinger equations using the Lie and Hopf algebra of graphs. The structure of those equations allows to introduce a commutative associative product on 1PI graphs. In scalar field theories, this product vanishes if and only if one of the factors vanishes. Gauge ..."
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their way now into the algorithmic toolkit of the practitioner of QFT. They directly address the computational practice of momentum space Feynman integrals, but can be equivalently formulated in coordinate space. They take into account faithfully the selfsimilarity of physics at different scales
On Renormalization Group in Abstract QFT
"... A.Mironovy and A.Morozovz Abstract The basics of RG equations for generic partition functions are briefly reviewed, keeping in mind an application tothe Polyakovde BoerVerlindes description of the holomorphic RG flow. ..."
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Cited by 1 (0 self)
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A.Mironovy and A.Morozovz Abstract The basics of RG equations for generic partition functions are briefly reviewed, keeping in mind an application tothe Polyakovde BoerVerlindes description of the holomorphic RG flow.
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