We discuss a way to evaluate the full prediction for the interquark potential which is expected from the effective Nambu–Goto string model. We check the correctness of the prescription reproducing the results obtained with the zeta function regularization for the first two perturbative orders. We compare the predictions with existing Monte Carlo data for the (2+1) dimensional Z2, SU(2) and SU(3...

In a 2+1-dimensional pure LGT at finite temperature the critical coupling for the deconfinement transition scales as βc(nt) = Jcnt + a1, where nt is the number of links in the “time-like” direction of the symmetric lattice. We study the effective action for the Polyakov loop obtained by neglecting the space-like plaquettes, and we are able to compute analytically in this context the coefficient...

In recent papers[1, 2] we proposed a group theoretical description of the Hilbert space for lattice gauge theories (LGT) in the Hamiltonian framework[3]. This approach, based on representation theory, allows to overcome the problem of selecting the gauge invariant Hilbert space. In particular, the difficulty of explicitly solving Mandelstam’s identities[5] in the context of Wilson loops[4] is c...

A study of the phase transition in 4D pure compact U(1) LGT on toroidal and spherical lattices. Abstract We have performed a systematic study of the phase transition in the pure compact U(1) lattice gauge theory in the extended coupling parameter space (β, γ) on toroidal and spherical lattices. The observation of a non-zero latent heat in both topologies for all investigated γ ∈ [+0.2, −0.4], t...

We review recent progress in numerical simulations with dually transformed SU(2) LGT, starting with a discussion of explicit dual amplitudes and algorithms for SU(2) pure Yang Mills in D = 3 and D = 4. In the D = 3 case, we discuss results that validate the dual algorithm against conventional simulations. We also review how a local, exact dynamical fermion algorithm can naturally be incorporate...

Hamiltonian LGT in the complete Fourier analysis basis. The main problem in the Hamiltonian formulation of Lattice Gauge Theories is the determination of an appropriate basis avoiding the over-completeness arising from Mandelstam relations. We shortcut this problem using Harmonic analysis on Lie-Groups and intertwining operators formalism to explicitly construct a basis of the Hilbert space. Ou...

We study the continuum limit of adjoint SU(2) LGT by means of a suppression term for Z2 monopoles. High barriers for tunnelling among different twist sectors are overcome through parallel tempering. Monopole condensation is used to study the deconfinement transition and the properties of the confined phase. Ergodicity in summing over all twist sectors allows an unbiased measure of the ’t Hooft ...