Published February 1984
| Version v1
Journal article
Lattice dipole gas and (anti V phi)4 models at long distances: Decay of correlations and scaling limit
Creators
- 1. CEA Centre National de la Recherche Scientifique, 91 - Bures-sur-Yvette (France). Inst. des Hautes Etudes Scientifiques
- 2. Helsinki Univ. of Technology, Espoo (Finland). Inst. of Technical Physics
Description
We prove that the scaling limit for a large class of weak V(nablaphi) perturbations of the free massless lattice field phi is Gaussian with the covariance c(V)(-Δ)-1. The correlations as well as c(V) are analytic in V. In particular the Mayer series for the dipole gas is convergent for small activity. (orig.)
Additional details
Publishing Information
- Journal Title
- Commun. Math. Phys.
- Journal Volume
- 92
- Journal Issue
- 4
- Series
- CODEN: CMPHA.;Commun. Math. Phys.
- Journal Page Range
- 531-554
- ISSN
- 0010-3616
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 15019304
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTIC FUNCTIONS; CORRELATION FUNCTIONS; CORRELATIONS; DIPOLES; INTERACTION RANGE; ISING MODEL; LATTICE FIELD THEORY; MASSLESS PARTICLES; PHI4-FIELD THEORY; RENORMALIZATION; SCALING LAWS; SERIES EXPANSION
- Descriptors DEC
- CONSTRUCTIVE FIELD THEORY; CRYSTAL MODELS; DISTANCE; ELEMENTARY PARTICLES; FIELD THEORIES; FUNCTIONS; MATHEMATICAL MODELS; MULTIPOLES; QUANTUM FIELD THEORY