Published November 1990 | Version v1
Journal article

δ expansion for a quantum field theory in the nonperturbative regime

  • 1. Department of Physics, Washington University, St. Louis, Missouri 63130 (USA)
  • 2. Department of Physics and Astronomy, University of Oklahoma, Norman, OK (USA)
  • 3. Department of Physics, The Ohio State University, Columbus, OH (USA)
  • 4. The Santa Fe Institute, Santa Fe, NM (USA)
  • 5. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM (USA)

Description

The δ expansion, a recently proposed nonperturbative technique in quantum field theory, is used to calculate the dimensionless renormalized coupling constant of a λ(var-phi 2)1+δ quantum field theory in d-dimensional space-time at the critical point defined by λ→∞ with the renormalized mass held fixed. The calculation is performed to leading order in δ and compared with previous lattice strong-coupling calculations. The numerical results are good and provide new evidence that the theory in four dimensions is free for all δ

Additional details

Publishing Information

Journal Title
Journal of Mathematical Physics (New York)
Journal Volume
31
Journal Issue
11
Series
J. Math. Phys. (N.Y.).
Journal Page Range
2722-2725
ISSN
0022-2488
CODEN
JMAPA

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
22023935
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
FOURIER TRANSFORMATION; GREEN FUNCTION; LAGRANGIAN FUNCTION; QUANTUM FIELD THEORY; RENORMALIZATION; SERIES EXPANSION
Descriptors DEC
FIELD THEORIES; FUNCTIONS; INTEGRAL TRANSFORMATIONS; TRANSFORMATIONS