Crossover and scaling in SU(3) lattice gauge theories with Susskind fermions (original) (raw)
Bulk and finite-temperature transitions in SU (3) gauge theories with many light fermions
Proceedings of Science, 2012
Abstract: We investigate finite-temperature transitions in SU (3) lattice gauge theories with Nf= 8 and 12 staggered fermions in the fundamental representation. For both of these systems, we have observed a strongly-coupled lattice phase in which the single-site shift symmetry of the staggered action is spontaneously broken. Here we report new results for finite-temperature transitions on 24^ 3x12 and 32^ 3x16 lattice volumes, contrasting the 8-and 12-flavor systems. While the Nf= 12 finite-temperature transitions accumulate at the ...
Nuclear Physics B, 2002
SU (2) lattice gauge theory with four flavors of quarks is simulated at nonzero chemical potential µ and temperature T and the results are compared to the predictions of Effective Lagrangians. Simulations on 16 4 lattices indicate that at zero T the theory experiences a second order phase transition to a diquark condensate state. Several methods of analysis, including equation of state fits suggested by Chiral Perturbation Theory, suggest that mean-field scaling describes this critical point. Nonzero T and µ are studied on 12 3 × 6 lattices. For low T , increasing µ takes the system through a line of second order phase transitions to a diquark condensed phase. Increasing T at high µ, the system passes through a line of first order transitions from the diquark phase to the quark-gluon plasma phase. Metastability is found in the vicinity of the first order line. There is a tricritical point along this line of transitions whose position is consistent with theoretical predictions.
The energy density and pressure in SU(3) lattice gauge theory at finite temperature
Nuclear Physics B - Proceedings Supplements, 1989
Extensive numerical simulations of SU(3) lattice gauge theory on such thermodynamical observables as energy density, pressure and the quantity A = (~"-3~D)/T 4 have been performed on the Columbia supercomputers. While drawing the complete pictures of these quantities in a wider range of couplings, particular attention has been devoted to studying their behavior near the phase transition point on lattices 163 x N~ and 243 x _N~ (.Nt = 4, 6) with very high statistics.
Numerical studies of phase transitions in SU(N)/ZN lattice gauge theories
Physics Letters B, 1982
The average action per plaquette is calculated for the pure SU(N)/ZN, N = 2, 3, 4, 5 and 6 gauge groups using strong coupling expansions up to 13th order for euclidean lattice gauge theory in four space-time dimensions. These expansions are compared with Monte Carlo generated data and agreement is found to be excellent for 0 ~< fl ~ fie, where tic is the critical inverse temperature for the appropriate gauge group considered.
Phase diagram of SO(3) lattice gauge theory at finite temperature
Nuclear Physics B - Proceedings Supplements, 1998
The phase diagram of SO(3) lattice gauge theory at finite temperature is investigated by Monte Carlo techniques with a view i) to understand the relationship between the deconfinement phase transitions in the SU(2) and SO(3) lattice gauge theories and ii) to resolve the current ambiguity of the nature of the high temperature phases of the latter. Phases with positive and negative adjoint Polyakov loop, La, are shown to have the same physics. A first order deconfining phase transition is found for Nt = 4.
Novel phase in SU(3) lattice gauge theory with 12 light fermions
Physical Review D, 2012
We study the phase structure of SU(3) lattice gauge theory with N f = 12 staggered fermions in the fundamental representation, for both zero and finite temperature at strong gauge couplings. For small fermion masses we find two transitions at finite temperature that converge to two wellseparated bulk phase transitions. The phase between the two transitions appears to be a novel phase. We identify order parameters showing that the single-site shift symmetry of staggered fermions is spontaneously broken in this phase. We investigate the eigenvalue spectrum of the Dirac operator, the static potential and the meson spectrum, which collectively establish that this novel phase is confining but chirally symmetric. The phase is bordered by first-order phase transitions, and since we find the same phase structure with N f = 8 fermions, we argue that the novel phase is most likely a strong-coupling lattice artifact, the existence of which does not imply IR conformality.
Nuclear Physics B, 1988
We use a new method introduced earlier to study the finite-temperature transition of SU(2) lattice gauge theory. The method is based on a direct numerical construction of the partition function of the system. The pattern of zeroes of the partition function in the complex coupling plane is used as a signal for the transition. The region of the phase transition is seen to be controlled by a pair of zeroes whose real parts are clearly resolved, and this is reflected in that the peak of the specific heat is consequently resolved into a double peak. These two peaks are then clearly seen to reflect the different contributions of plaquettes in the space-space directions of the lattice and those in the time-space directions. The finite-size scaling of the zeroes of the partition function is then used to measure the critical exponent ~ of the transition which is found to be 0.62(3).
Finite-temperature phase transition in SU(2) lattice gauge theory with extended action
Nuclear Physics B, 1994
We study the three dimensional fundamental-adjoint SU(2) lattice gauge theory at finite temperature by Monte Carlo simulations. We find that the finite temperature deconfinement phase transition line joins the first order bulk phase transition line at its endpoint. Moreover, across the bulk transition line, the Polyakov loop undergoes a discontinuous jump implying the existence of both confining and deconfining phases on its two sides. Implications for universality and the nature of the confining-deconfining transition are discussed.
Nature of the Deconfining Phase Transition in SU(3) Lattice Gauge Theory
Physical Review Letters, 1988
Monte Carlo calculations on lattices with large spatial volume show that the SU(3) deconfining phase transition is more weakly first order than previously thought. We have studied the transition for NT 4 and 6 on lattices of spatial volumes 16', 20, and 24. The 24 x4 calculations show a sharp first-order phase transition, yielding a latent heat AC/T of 2.54~0. 12. The 24'&6 calculations suffer greater finite-volume smearing, hut suggest that d, C/T4 2.48~0.24. Correlation lengths increase significantly near the transition, and the energy plus pressure of the ordered phase depends strongly on P.