TY - RPRT
TI - Scaling laws, renormalization group flow and the continuum limit in non-compact lattice QED
AB - We investigate the ultra-violet behavior of non-compact lattice QED with light staggered fermions. The main question is whether QED is a non-trivial theory in the continuum limit, and if not, what is its range of validity as a low-energy theory. Perhaps the limited range of validity could offer an explanation of why the fine-structure constant is so small. Non-compact QED undergoes a second order chiral phase transition at strong coupling, at which the continuum limit can be taken. We examine the phase diagram and the critical behavior of the theory in detail. Moreover, we address the question as to whether QED confines in the chirally broken phase. This is done by investigating the potential between static external charges. We then compute the renormalized charge and derive the Callan-Symanzik {beta} function in the critical region. No ultra-violet stable zero is found. Instead, we find that the evolution of charge is well described by renormalized perturbation theory, and that the renormalized charge vanishes at the critical point. The consequence is that QED can only be regarded as a cut-off theory. Next, we compute the masses of fermion-antifermion composite states. The scaling behavior of these masses is well described by an effective action with mean field critical exponents plus logarithmic corrections. This indicates that also the matter sector of the theory is non-interacting. Finally, we investigate and compare the renormalization group flow of different quantities. Altogether, we find that QED is a valid theory only for small renormalized charges. (orig.).
AU - Goeckeler, M
AU - Horsley, R [Technische Hochschule Aachen (Germany). Inst. fuer Theoretische Physik]
AU - [Hoechstleistungsrechenzentrum (HLRZ), Juelich (Germany). Gruppe Theorie der Elementarteilchen]
AU - Rakow, P [Freie Univ. Berlin (Germany). Inst. fuer Theoretische Physik]
AU - Schierholz, G [Hoechstleistungsrechenzentrum (HLRZ), Juelich (Germany). Gruppe Theorie der Elementarteilchen]
AU - [Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)]
AU - Sommer, R [European Organization for Nuclear Research, Geneva (Switzerland)]
KW - 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
KW - LATTICE FIELD THEORY
KW - ULTRAVIOLET DIVERGENCES
KW - UNIFIED GAUGE MODELS
KW - QUANTUM ELECTRODYNAMICS
KW - FERMIONS
KW - SCALING LAWS
KW - ASYMPTOTIC SOLUTIONS
KW - FLUCTUATIONS
KW - U-1 GROUPS
KW - COUPLING CONSTANTS
KW - SOMMERFELD CONSTANT
KW - CHIRALITY
KW - PHASE DIAGRAMS
KW - PHASE TRANSFORMATIONS
KW - CHIRAL SYMMETRY
KW - SYMMETRY BREAKING
KW - BAG MODEL
KW - ANALYTIC FUNCTIONS
KW - CHARGE RENORMALIZATION
KW - PERTURBATION THEORY
KW - REST MASS
KW - BOUND STATE
KW - MEAN-FIELD THEORY
KW - CORRECTIONS
KW - CENTRAL POTENTIAL
KW - PROPAGATOR
KW - BOSE-EINSTEIN CONDENSATION
KW - MASS RENORMALIZATION
KW - PHOTONS
KW - EXPECTATION VALUE
KW - GOLDSTONE BOSONS
KW - VECTOR FIELDS
KW - 662220
DO -
UR -
PB -
CY - Germany
PY - 1991
DA - 1991-09-01
LA - English
J2 -
C1 - Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
C2 -
ER -