name

Guido Arnold

refid

4939

email

arnold@theorie.physik.uni-wuppertal.de

title

Finite Size Scaling in Compact QED

collaboration

Th. Lippert, Th. Neuhaus, K. Schilling

abstract

We describe first results of a high-statistics finite size
scaling analysis of 4d compact U(1) lattice gauge theory with Wilson
action. Using a very effective multicanonical hybrid Monte Carlo
algorithm we generated data samples of at least 100 flips between the
metastable states of the system at various lattice sizes (L=8,10,12,14,16,18).

We have carried out FSS fits for a variety of cumulants using a series of
fit-ranges, [L_i,L_f]. We observe a decrease of the critical
exponent with L_i with tendency towards nu = 1/4. This result is
consistent for all cumulants and hints at a first order phase
transition, however, a conclusive answer requires a lower fit-range
limit > 14. In that case, a proper fit requires L_f > 20.

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