Published June 15, 2010
| Version v1
Journal article
Quantum field theory without divergences
Creators
- 1. and Space Research Institute RAS, Profsoyuznaya 84/32, Moscow, 117997 (Russian Federation)
- 2. Joint Institute for Nuclear Research, Dubna, 141980 (Russian Federation)
Description
It is shown that loop divergences emerging in the Green functions in quantum field theory originate from correspondence of the Green functions to unmeasurable (and hence unphysical) quantities. This is because no physical quantity can be measured in a point, but in a region, the size of which is constrained by the resolution of measuring equipment. The incorporation of the resolution into the definition of quantum fields φ(x)→φ(A)(x) and appropriate change of Feynman rules results in finite values of the Green functions. The Euclidean φ4-field theory is taken as an example.
Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.81.125003;
- arXiv
- arXiv:1002.2566v5;
Publishing Information
- Journal Title
- Physical Review. D, Particles Fields
- Journal Volume
- 81
- Journal Issue
- 12
- Journal Page Range
- p. 125003-125003.6
- ISSN
- 0556-2821
- CODEN
- PRVDAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42005616
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CURRENT DIVERGENCES; EUCLIDEAN SPACE; GREEN FUNCTION; QUANTUM FIELD THEORY; RESOLUTION
- Descriptors DEC
- FIELD THEORIES; FUNCTIONS; MATHEMATICAL SPACE; RIEMANN SPACE; SPACE
Optional Information
- Notes
- (c) 2010 The American Physical Society