Scale covariance, nonrenormalizable interactions, and high-temperature expansions
Modified (scale-covariant) Heisenberg operator equations of motion, derived on the assumption that local products are based on an operator-product expansion, are shown to exhibit a nonclassical, one-parameter degree of freedom in their functional integral formulations. By a proper choice of this freely adjustable, scale-covariance parameter the suitably normalized, connected (truncated) four-point functions can be changed from a bounded negative quantity to one that is positive and arbitrarily large. For nonrenormalizable, or possibly for nonasymptotically free renormalizable models, which when conventionally formulated as lattice theories violate hyperscaling and exhibit a trivial continuum limit, the previously stated property suggests that the scale-covariance parameter can be chosen to achieve nontrivial results for such models. This conclusion is supported by results of a high-temperature series analysis that incorporates the effects of the additional parameter.
- Research Organization:
- Bell Laboratories, Murray Hill, New Jersey 07974
- OSTI ID:
- 6069825
- Journal Information:
- Phys. Rev. D; (United States), Vol. 24:10
- Country of Publication:
- United States
- Language:
- English
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QUANTUM FIELD THEORY
EQUATIONS OF MOTION
DIFFERENTIAL EQUATIONS
GREEN FUNCTION
HIGH TEMPERATURE
LATTICE FIELD THEORY
RENORMALIZATION
SCALAR FIELDS
EQUATIONS
FIELD THEORIES
FUNCTIONS
PARTIAL DIFFERENTIAL EQUATIONS
645400* - High Energy Physics- Field Theory