Determination of the correlation length by varying the boundary conditions in lattice gauge theories

In order to investigate the weak coupling limit of lattice gauge theories, it has been suggested recently to apply the semiclassical approximation to the Schrödinger equation in the Hamiltonian formalism. This method is used to study pure SU(2) gauge theory on a cube with sides of length one lattice constant and with antiperiodic boundary conditions. We show the existence of caustics, i.e. envelopes of families of classical trajectories where the ground state wave function peaks, and describe their shape.

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Precise determination of from lattice gauge theories

Physics Letters B ◽

10.1016/0370-2693(82)91204-7 ◽

1982 ◽

Vol 108 (4-5) ◽

pp. 327-330 ◽

Cited By ~ 59

Author(s):

A. Di Giacomo ◽

G. Paffuti

Keyword(s):

Gauge Theories ◽

Precise Determination ◽

Lattice Gauge ◽

Lattice Gauge Theories

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Migdal-Kadanoff determination of the Gell-Mann—Low function for mixed action SU(2) lattice gauge theories

Nuclear Physics B ◽

10.1016/0550-3213(87)90344-0 ◽

1987 ◽

Vol 285 ◽

pp. 363-389 ◽

Cited By ~ 4

Author(s):

Stephen G. Eubank ◽

Charles B. Chiu

Keyword(s):

Gauge Theories ◽

Lattice Gauge ◽

Lattice Gauge Theories ◽

Mixed Action

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High-order perturbative expansions in massless gauge theories with NSPT

EPJ Web of Conferences ◽

10.1051/epjconf/201817511023 ◽

2018 ◽

Vol 175 ◽

pp. 11023

Author(s):

Luigi Del Debbio ◽

Francesco Di Renzo ◽

Gianluca Filaci

Keyword(s):

Boundary Conditions ◽

Gauge Theories ◽

Zero Mode ◽

Stochastic Perturbation ◽

High Order ◽

Fundamental Representation ◽

Lattice Gauge ◽

Lattice Gauge Theories ◽

Twisted Boundary Conditions ◽

Wilson Fermions

We investigate the possibility of using numerical stochastic perturbation theory (NSPT) to probe high orders in the perturbative expansion of lattice gauge theories with massless Wilson fermions. Twisted boundary conditions are used to regularise the gauge zero-mode; the extension of these boundary conditions to include fermions in the fundamental representation requires to introduce a smell degree of freedom. Moreover, the mass of Wilson fermions is affected by an additive renormalisation: we study how to determine the mass counterterms consistently in finite volume. The knowledge of the critical masses will enable high-order perturbative computations in massless QCD, e.g. (as a first application) for the plaquette.

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