Published March 1975 | Version v1
Journal article

Correlation inequalities and the mass gap in P(phi)2. P. 3

  • 1. Salerno Univ. (Italy). Istituto de Fisica
  • 2. Toronto Univ., Ontario (Canada). Dept. of Mathematics
  • 3. Princeton Univ., N.J. (USA). Dept. of Mathematics

Description

We consider the infinite volume Dirichlet (or half-Dirichlet) quantum field theory with P(X) = aX4 + bX4 + bX2 - μX(a > 0). If μ unequal 0 there is a positive mass gap in the energy spectrum. If the gap vanishes as μ → 0, it goes to zero no faster than linearly yielding a bound on a critical exponent. (orig.)

Abstract (German)

Wir betrachten die unendlich ausgedehnte Dirichletsche (oder halb-Dirichletsche) Quantenfeldtheorie mit P(X) = aX4 + bX4 + bX2 - μX(a > 0). Ist μ ungleich 0, so enthaelt das Energiespektrum eine positive Massenluecke. Verschwindet die Luecke bei μ → 0, so naehert sie sich dem Nullpunkt nur linear, da ein kritischer Exponent begrenzend wirkt. (orig./AK)

Additional details

Additional titles

Subtitle (English)
Mass gap for a class of strongly coupled theories with nonzero external field

Identifiers

Publishing Information

Journal Title
Communications in Mathematical Physics
Journal Volume
41
Journal Issue
1
Series
Commun. Math. Phys.
Journal Page Range
19-32
ISSN
0010-3616

Optional Information

Notes
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