Monte Carlo calculation for systems consisting of several coordinate patches

Vohwinkel, Claus

doi:10.1016/0550-3213(95)00067-3

Cited by 1 publication

(2 citation statements)

References 8 publications

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“…36 After full equivalence was established, 53,54 the Monte Carlo analysis of this effective lagrangian model continued to suffer from a technical difficulty in efficiently implementing the kinetic term, 41 only fully understood by Vohwinkel a number of years later. 55 This has hampered using the lagrangian formulation as a reliable alternative 56 for the hamiltonian Rayleigh-Ritz analysis.…”

Section: Including Massless Quarksmentioning

confidence: 99%

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QCD in a Finite Volume

Baal

2001

At the Frontier of Particle Physics

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The chiral phase transition in QCD at finite chemical potential and temperature can be characterized for small chemical potential by its curvature and the transition temperature. The curvature is accessible to QCD lattice simulations, which are always performed at finite pion masses and in finite simulation volumes. We investigate the effect of a finite volume on the curvature of the chiral phase transition line. We use functional renormalization group methods with a two flavor quark-meson model to obtain the effective action in a finite volume, including both quark and meson fluctuation effects. Depending on the chosen boundary conditions and the pion mass, we find pronounced finite-volume effects. For periodic quark boundary conditions in spatial directions, we observe a decrease in the curvature in intermediate volume sizes, which we interpret in terms of finite-volume quark effects. Our results have implications for the phase structure of QCD in a finite volume, where the location of a possible critical endpoint might be shifted compared to the infinite-volume case.

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Section: Including Massless Quarksmentioning

confidence: 99%

“…The unit quaternions σ µ were given in Eq. (55). The instanton describes tunneling from A = 0 at t = −∞ to A j = −σ j at t = ∞, over a potential barrier at t = 0 that is lowest when b ≡ 0.…”

Section: Gauge Fields On the Three-spherementioning

confidence: 99%

QCD in a Finite Volume

Baal

2001

At the Frontier of Particle Physics

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show abstract

Monte Carlo calculation for systems consisting of several coordinate patches

Cited by 1 publication

References 8 publications

QCD in a Finite Volume

QCD in a Finite Volume

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