QCD with dynamical Wilson fermions

Journal Article · Fri Sep 15 04:00:00 EDT 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.2072· OSTI ID:5506258

Gupta, R ^[1]; Patel, A ^[2]; Baillie, C F ^[3]; Guralnik, G; Kilcup, G W ^[4]; Sharpe, S R ^[5]

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1. T-8, MS-B285, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (US)
2. Theory Group, CERN, Geneve 23, Switzerland
3. Physics Department, Caltech, Pasadena, California 91125
4. Physics Department, Brown University, Providence, Rhode Island 02912
5. Physics Department, University of Washington, Seattle, Washington 98195

We present results from a study of QCD with two flavors of Wilson fermions using the hybrid Monte Carlo algorithm, which incorporates the effects of fermion loops exactly. We evaluate the performance of the algorithm and its potential for large-scale computations. We argue that in the best case the algorithm slows down as {ital V}{sup 5/4}m{sub q}{sup {minus}13/4} at a fixed gauge coupling. We present improved algorithms for calculating the inverse and the determinant of the Wilson fermion operator. Results for the finite-temperature transition on 4{times}6{sup 3} and 6{times}8{sup 3} lattices are presented at {beta}=5.2--5.6. We also give Wilson loop expectation values obtained on 8{sup 4} lattices at {beta}=5.3 for six values of {kappa}. The data show evidence for screening in the {ital q{bar q}} potential. Lastly, on comparing Wilson and staggered-fermion results we find that {beta}=5.3 is far from the scaling region.

• OSTI ID: 5506258
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:6; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645204 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
COMPOSITE MODELS
CORRELATION FUNCTIONS
DIRAC OPERATORS
FERMIONS
FIELD THEORIES
FLAVOR MODEL
FUNCTIONS
HAMILTONIANS
INTERACTIONS
LATTICE FIELD THEORY
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MONTE CARLO METHOD
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTITION FUNCTIONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
QUARK-ANTIQUARK INTERACTIONS
WILSON LOOP