Representation of quantum field theory as classical statistical mechanics for field functionals

Doklady Mathematics

Volumn 74, Issue 2, 2006, Pages 758-761

  Khrennikov, A Yu ^a  

^a LINNAEUS UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FUNCTION EVALUATION; HAMILTONIANS; MATHEMATICAL MODELS; MEASUREMENT THEORY; STATISTICAL MECHANICS;

CONTINUOUS OPERATORS; FIELD FUNCTIONALS; GAUSSIAN MEASURES; QUANTUM FIELD THEORY;

QUANTUM THEORY;

EID: 33750549654     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: 10.1134/S106456240605036X     Document Type: Article

References (16)

1. A. Yu. Khrennikov, Non-Kolmogorov Probability Models and Their Applications to Quantum Physics (Fizmatlit, Moscow, 2002) [in Russian].
2. A. Yu. Khrennikov, Dokl. Math. 73, 445-448 (2006)
3. [Dokl. Akad. Nauk 408, 321-324 (2006)].
4. J. von Neumann, Mathematical Foundations of Quantum Mechanics, transl., from the German (Princeton University Press, Princeton, N.J., 1955; Nauka, Moscow, 1964).
5. A. S. Kholevo, An Introduction to Quantum Information Theory (MTsNMO, Moscow, 2002) [in Russian].
6. Foundations of Probability and Physics. 2 Ed. by A.Yu. Khrennikov (Växjö Univ., Växjö, 2003).
7. Quantum Theory: Reconsideration of Foundations. 2, Ed. by A.Yu. Khrennikov (Växjö Univ., Växjö, 2004).
8. Proceedings of Conference on Foundations of Probability and Physics. 3, Ed. by A.Yu. Khrennikov (Amer. Inst. of Physics, Melville, 2005).
9. N. N. Bogolyubov and D. V. Shirkov, An Introduction to the Theory of Quantum Fields (Nauka, Moscow, 1973) [in Russian].
10. N. N. Bogolyubov and D. V. Shirkov, Quantum Fields (Nauka, Moscow, 1980) [in Russian].
11. B. Simon, The P(φ)2 Euclidean (Quantum) Field Theory (Princeton Univ., Princeton, N.J., 1974; Mir, Moscow, 1976).
12. I. E. Segal, Mathematical Problems of Relativistic Physics (American Mathematical Society, Providence, R.I., 1963; Mir, Moscow, 1968).
13. O. G. Smolyanov, Dokl. Akad. Nauk 263, 558-562 (1982).
14. A. Yu. Khrennikov, Izv. Akad. Nauk, Ser. Mat. 51, 1265-1291 (1987).
15. O. G. Smolyanov and A. Yu. Khrennikov, Dokl. Akad. Nauk 281, 279-283 (1985).
16. O. G. Smolyanov and A. Yu. Khrennikov, Dokl. Akad. Nauk 292, 1310-1313 (1987).