Exploring the critical behavior of U(1) gauge theory on regular and fractal lattices by a finite-size analysis

Journal Article · Wed Apr 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.2949· OSTI ID:7302269

Ilgenfritz, E; Schiller, A ^[1]; Markum, H ^[2]

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1. Sektion Physik, Universitaet Leipzig (Germany)
2. Institut fuer Kernphysik, Technische Universitaet Wien (Austria)

We extend the phase-transition study of the U(1) gauge theory from 4 to 4{minus}{var epsilon} dimensions using generalized Sierpinski carpets embedded in hypercubic lattices. Further evidence for the first-order nature in four dimensions is established. The spectral density and the cumulant method combined with the Ferrenberg-Swendsen multihistogram technique are applied to expose the vanishing of the first-order transition on fractal manifolds with less than 4 dimensions.

• OSTI ID: 7302269
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:8; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
FRACTALS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MONTE CARLO METHOD
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
SPACE-TIME
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS