Tue·Oct 23, 2007Tuesday·October 23, 2007

1. 01*

   The Lattice Free Energy of QCD with Clover Fermions, up to Three-Loops

   A. Athenodorou (1)🇬🇧 · H. Panagopoulos (2)🇨🇾 · A. Tsapalis (3) ((1) Univ. of Oxford, (2) Univ. of Cyprus, (3) Univ. of Athens)🇬🇷

   We calculate the perturbative value of the free energy in Lattice QCD, up to three loops. Our calculation is performed using Wilson gluons and the Sheikholeslami - Wolhert (clover) improved action for fermions. The free energy is directly related to the average plaquette. To carry out the calculation, we compute all relevant Feynman diagrams up to 3 loops, using a set of automated procedures in Mathematica; numerical evaluation of the resulting loop integrals is performed on finite lattice, with subsequent extrapolation to infinite size. The results are presented as a function of the fermion mass m, for any SU(N_c) gauge group, and for an arbitrary number of fermion flavors. In order to enable independent comparisons, we also provide the results on a per diagram basis, for a specific mass value.

   hep-latPLB(2008)·8 citations
2. 02*

   Complex Langevin Equations and Schwinger-Dyson Equations

   Gerald Guralnik🇺🇸 · Cengiz Pehlevan🇺🇸

   Stationary distributions of complex Langevin equations are shown to be the complexified path integral solutions of the Schwinger-Dyson equations of the associated quantum field theory. Specific examples in zero dimensions and on a lattice are given. Relevance to the study of quantum field theory phase space is discussed.

   ↳ hep-thhep-lathep-phNPB(2009)·59 citations
3. 03*

   Wilson Loops in Non-Compact U(1) Gauge Theories at Criticality

   Max A. Metlitski🇨🇦

   We study the properties of Wilson loops in three dimensional non-compact U(1) gauge theories with global abelian symmetries. We use duality in the continuum and on the lattice, to argue that close to the critical point between the Higgs and Coulomb phases, all correlators of the Wilson loops are periodic functions of the Wilson loop charge, Q. The period depends on the global symmetry of the theory, which determines the magnetic flux carried by the dual particles. For single flavour scalar electrodynamics, the emergent period is Q = 1. In the general case of N complex scalars with a U(1)^{N-1} global symmetry, the period is Q = N. We also give some arguments why this phenomenon does not generalize to theories with a full non-abelian SU(N) symmetry, where no periodicity in Q is expected. Implications for lattice simulations, as well as for physical systems, such as easy plane antiferromagnets and disordered superfluids, are noted.

   ↳ hep-thhep-lathep-phPRD(2008)·3 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.