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

1982 ◽  
Vol 117 (1-2) ◽  
pp. 75-80 ◽  
Author(s):  
K.H. Mütter ◽  
K. Schilling
1989 ◽  
Vol 04 (17) ◽  
pp. 4607-4626
Author(s):  
B. RAABE

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.


1982 ◽  
Vol 108 (4-5) ◽  
pp. 327-330 ◽  
Author(s):  
A. Di Giacomo ◽  
G. Paffuti

2018 ◽  
Vol 175 ◽  
pp. 11023
Author(s):  
Luigi Del Debbio ◽  
Francesco Di Renzo ◽  
Gianluca Filaci

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.


1984 ◽  
Vol 148 (4-5) ◽  
pp. 331-333
Author(s):  
V.M. Emelyanov ◽  
S.V. Petrovsky ◽  
I.L. Rozental

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Zohreh Davoudi ◽  
Mohammad Hafezi ◽  
Christopher Monroe ◽  
Guido Pagano ◽  
Alireza Seif ◽  
...  

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