Some Mathematical Problems in the Renormalization of Quantum Field Theories
Marcel Guenin (1969)
Recherche Coopérative sur Programme n°25
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Marcel Guenin (1969)
Recherche Coopérative sur Programme n°25
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Marcel Guenin (1973)
Recherche Coopérative sur Programme n°25
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Wolfhart Zimmermann (1987)
Recherche Coopérative sur Programme n°25
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Robert, Didier (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 81Q60, 35Q40. A standard supersymmetric quantum system is defined by a Hamiltonian [^H] = ½([^Q]*[^Q] +[^Q][^Q]*), where the super-charge [^Q] satisfies [^Q]2 = 0, [^Q] commutes with [^H]. So we have [^H] ≥ 0 and the quantum spectrum of [^H] is non negative. On the other hand Pais-Ulhenbeck proposed in 1950 a model in quantum-field theory where the d'Alembert operator [¯] = [(∂2)/( ∂t2)] − Δx is replaced by fourth order operator [¯]([¯]...
James Glimm (1973-1974)
Séminaire Jean Leray
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Bernard Kay (2000)
Journées équations aux dérivées partielles
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Several situations of physical importance may be modelled by linear quantum fields propagating in fixed spacetime-dependent classical background fields. For example, the quantum Dirac field in a strong and/or time-dependent external electromagnetic field accounts for the creation of electron-positron pairs out of the vacuum. Also, the theory of linear quantum fields propagating on a given background curved spacetime is the appropriate framework for the derivation of black-hole evaporation...
Etienne Frochaux (1994)
Forum mathematicum
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Janys̆ka, Joseph, Modugno, Marco (1997)
General Mathematics
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Manjavidze, J., Sissakian, A. (2004)
Discrete Dynamics in Nature and Society
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(1996)
Annales de l'I.H.P. Physique théorique
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Jan Dereziński, Christian Gérard (2010)
Banach Center Publications
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The abstract mathematical structure behind the positive energy quantization of linear classical systems is described. It is separated into three stages: the description of a classical system, the algebraic quantization and the Hilbert space quantization. Four kinds of systems are distinguished: neutral bosonic, neutral bosonic, charged bosonic and charged fermionic. The formalism that is described follows closely the usual constructions employed in quantum physics to introduce noninteracting...
Djordje Musicki (1962)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Tanasa, Adrian (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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