Massless Lattice phi/sub 4//sup 4/ theory: A nonperturbative control of a renormalizable model

Journal Article · Mon Jan 14 00:00:00 EST 1985 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.54.92· OSTI ID:5986243

Gawedzki, K; Kupiainen, A

We describe a rigorous argument establishing infrared asymptotic freedom and other related properties (e.g., scaling with logarithmic corrections) of the weakly coupled massless lattice phi/sup 4/ model in four Euclidean dimensions. Our method combines the block-spin renormalization-group analysis with the technique of convergent high-temperature expansions. It should also extend to the ultraviolet asymptotically free models such as the negative-coupling continuum phi/sub 4//sup 4/ theory.

• Research Organization: Institut des Hautes Etudes Scientifiques, F-91440 Bures-sur-Yvette, France
• OSTI ID: 5986243
• Journal Information: Phys. Rev. Lett.; (United States), Vol. 54:2
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PHI4-FIELD THEORY
RENORMALIZATION
EUCLIDEAN SPACE
HAMILTONIANS
INFRARED DIVERGENCES
LATTICE FIELD THEORY
MASSLESS PARTICLES
SPIN
ULTRAVIOLET DIVERGENCES
ANGULAR MOMENTUM
ELEMENTARY PARTICLES
FIELD THEORIES
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RIEMANN SPACE
SPACE
645400* - High Energy Physics- Field Theory