Integrals over products of distributions and coordinate independence of zero-temperature path integrals

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 308, Issue 2-3, 2003, Pages 85-95

  Kleinert, H ^a   Chervyakov, A ^a,b  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

^b JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

DELTA FUNCTIONS; EQUATIONS OF MOTION; INTEGRAL EQUATIONS;

CURVILINEAR COORDINATE; DIRAC DELTA FUNCTION; FEYNMAN DIAGRAMS; FINITE TIME INTERVALS; PATH INTEGRATION; PERTURBATIVE CALCULATIONS; SINGULAR INTEGRAL; ZERO TEMPERATURES;

QUANTUM THEORY;

ARTICLE; CALCULATION; CORRELATION FUNCTION; LOW TEMPERATURE; MOLECULAR INTERACTION; PARTITION COEFFICIENT; QUANTUM MECHANICS; TEMPERATURE DEPENDENCE;

EID: 0037463603     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(02)01801-7     Document Type: Article

References (12)

1. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics, 2nd Edition, World Scientific, Singapore, 1995, 3rd Edition can be downloaded from http://www.physik.fu-berlin.de/-kleinert/re.html#b3.
2. H. Kleinert, A. Chervyakov, Phys. Lett. B 464 (1999) 257, hep-th/9906156.
3. H. Kleinert, A. Chervyakov, Phys. Lett. B 477 (2000) 373, quant-ph/9912056.
4. N.N. Bogoliubov, D.V. Shirkov, Introduction to the Theory of Quantized Fields, Interscience, New York, 1959.
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9. F. Bastianelli, O. Corradini, Phys. Rev. D 60 (1999) 044014.
10. H. Kleinert, A. Chervyakov, Eur. Phys. J. C 19 (2001) 743, quant-ph/0002067.
11. J. de Boer, B. Peeters, K. Skenderis, P. van Nieuwenhuizen, Nucl. Phys. B 446 (1995) 211, hep-th/9504097;
12. J. de Boer, B. Peeters, K. Skenderis, P. van Nieuwenhuizen, Nucl. Phys. B 459 (1996) 631, hep-th/9509158. See, in particular, the extra terms in Appendix A of the first paper required by the noncovariant regularization of these authors.