Microlocal Analysis and¶Interacting Quantum Field Theories:¶Renormalization on Physical Backgrounds

Keywords

Renormalization, Observable, Quantum field theory, Operator (biology), Physics

References

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• Local quantum physics : fields, particles, algebrasRudolf Haag — 1993
• Radiation damping in a gravitational fieldRobert Beig — 1973
• Mathematical Problems of Non-perturbative Quantum General RelativityAbhay Ashtekar — 1993
• The Quantum Theory of FieldsSteven Weinberg — 1996
• Perturbation Expansions in Axiomatic Field TheoryO. Steinmann — 1971
• Convergence of Bogoliubov's method of renormalization in momentum spaceW. Zimmermann — 1969
• Radiation damping in a gravitational fieldBryce S. DeWitt, Robert W. Brehme — 1960
• Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate killing horizonBernard S. Kay, Robert M. Wald — 1991
• Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetimeRainer Verch — 1994
• REGULARIZATION OF DISTRIBUTIONSRicardo Estrada — 1998
• Quantum Physics: A Functional Integral Point of ViewJ. Gllmm, Arthur Jaffe, Frank Wilczek — 1981
• Quantum Fields in Curved SpaceN. D. Birrell, P. C. W. Davies — 1982
• Micro-local approach to the Hadamard condition in quantum field theory on curved space-timeMarek J. Radzikowski — 1996
• Théorie de la renormalisationK. Hepp — 1969

Cited by

• Haag's Theorem and the Interpretation of Quantum Field Theories with InteractionsDoreen Fraser — 2006
• Essential self-adjointness of Wick squares and energy densities in Hadamard representations on curved spacetimes.Ko Sanders — 2010
• Quantum field theory : competitive modelsBertfried Fauser, Jürgen Tolksdorf, Eberhard Zeidler — 2009
• Explicit construction of Hadamard states for Quantum Field Theory in curved spacetimesMarcos Brum — 2014
• Dispersion relations in quantum electrodynamics on the noncommutative Minkowski spaceJochen Zahn — 2007
• Properties of the operator product expansion in quantum field theoryJan Holland — 2013
• On the Notion of 'the Same Physics in All Spacetimes'Christopher J. Fewster — 2011
• Perturbative algebraic quantum field theoryDamien Calaque, Thomas Strobl — 2012
• Lorentz Covariance in Epstein-Glaser RenormalizationDirk Prange — 1999
• Construction of operator product expansion coecients via consistency conditionsJan Holland — 2009
• Perturbative Algebraic Field Theory, and Deformation QuantizationMichael Dütsch, Klaus Fredenhagen — 2001
• Quantum field theory in terms of consistency conditions I: General framework, and perturbation theory via Hochschild cohomologyStefan Hollands — 2008
• Balanced homodyne detectors in QFTPiotr Marecki — 2007
• Dimensional Regularization in Position Space and a Forest Formula for Regularized Epstein-Glaser RenormalizationKai Johannes Keller — 2010
• A BPHZ convergence proof in Euclidean position spaceChris Austin — 2006
• PCT Theorem for the Operator Product Expansion in Curved SpacetimeStefan Hollands — 2002
• Complex powers of analytic functions and meromorphic renormalization in QFTNguyen Viet Dang — 2015
• Algebraic Structure of Classical Field Theory: Kinematics and Linearized Dynamics for Real Scalar FieldsRomeo Brunetti, Klaus Fredenhagen, Pedro Lauridsen Ribeiro — 2012
• Universal constructions in algebraic and locally covariant quantum field theoryBenjamin Lang — 2014
• Aspects of Dynamical Locality and Locally Covariant Canonical QuantizationMatthew Thomas Ferguson — 2013

Related papers

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• Quantum corrections to nontrivial classical solutions in phi/sup 4/ theoryR. Konoplich, S. G. Rubin — 1983
• RENORMALIZATION OF A MODEL QUANTUM FIELD THEORYPer Kraus, David J. Griffiths — 1992
• Exactly solvable quantum mechanical models with infinite renormalization of the wavefunctionO. Yu. Shvedov — 2001
• Simple approach to renormalization theoryWilliam E. Caswell, A.D. Kennedy — 1982
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• RENORMALIZATION IN p-ADIC QUANTUM FIELD THEORYVladimir A. Smirnov — 1991
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