Published June 15, 2010 | Version v1
Journal article

Quantum field theory without divergences

  • 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

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