Scaling laws, renormalization group flow and the continuum limit in non-compact lattice QED
Goeckeler, M; Horsley, R [Technische Hochschule Aachen (Germany). Inst. fuer Theoretische Physik]; [Hoechstleistungsrechenzentrum (HLRZ), Juelich (Germany). Gruppe Theorie der Elementarteilchen]; Rakow, P [Freie Univ. Berlin (Germany). Inst. fuer Theoretische Physik]; Schierholz, G [Hoechstleistungsrechenzentrum (HLRZ), Juelich (Germany). Gruppe Theorie der Elementarteilchen]; [Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)]; Sommer, R [European Organization for Nuclear Research, Geneva (Switzerland)]
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LATTICE FIELD THEORY; ULTRAVIOLET DIVERGENCES; UNIFIED GAUGE MODELS; QUANTUM ELECTRODYNAMICS; FERMIONS; SCALING LAWS; ASYMPTOTIC SOLUTIONS; FLUCTUATIONS; U-1 GROUPS; COUPLING CONSTANTS; SOMMERFELD CONSTANT; CHIRALITY; PHASE DIAGRAMS; PHASE TRANSFORMATIONS; CHIRAL SYMMETRY; SYMMETRY BREAKING; BAG MODEL; ANALYTIC FUNCTIONS; CHARGE RENORMALIZATION; PERTURBATION THEORY; REST MASS; BOUND STATE; MEAN-FIELD THEORY; CORRECTIONS; CENTRAL POTENTIAL; PROPAGATOR; BOSE-EINSTEIN CONDENSATION; MASS RENORMALIZATION; PHOTONS; EXPECTATION VALUE; GOLDSTONE BOSONS; VECTOR FIELDS; 662220
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.).
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
OSTI; NTIS (US Sales Only); INIS
Germany
1991-09-01
English
Technical Report
Other Information: PBD: Sep 1991
Medium: X; Size: 86 p.
ON: DE92759145
DESY-91-098; HLRZ-91-71; FUB-HEP-91-9
Other: ON: DE92759145; TRN: DE9200564
DEN; SCA: 662220; PA: DEN-92:000564; SN: 92000645443
2008-02-12
10114378