Behaviour of the topological susceptibility across the deconfining phase transition

Giacomo, A. Di; Meggiolaro, Enrico; Panagopoulos, H.

doi:10.1016/0370-2693(92)91816-r

Cited by 36 publications

(50 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These results have been confirmed by many collaborations by using cooling [3,16,17] * (see however [18]) and by counting fermionic zero modes [19], including studies for N ≥ 4 colours.…”

Section: Introductionmentioning

confidence: 56%

Behaviour of the topological susceptibility in two colour QCD across the finite density transition

2006

View full text Add to dashboard Cite

The behaviour of the topological susceptibility χ in QCD with two colours and 8 flavours of quarks is studied at nonzero temperature on the lattice across the finite density transition. It is shown that the signal of χ drops abruptly at a critical chemical potential µ c , much as it happens at the finite temperature and zero density transition. The Polyakov loop and the chiral condensate undergo their transitions at the same critical value µ c . At a value µ s of the chemical potential, called saturation point, which in our case satisfies µ s > µ c , Pauli blocking supervenes and consequently the theory becomes quenched.

show abstract

“…These results have been confirmed by many collaborations by using cooling [3,16,17] * (see however [18]) and by counting fermionic zero modes [19], including studies for N ≥ 4 colours.…”

Section: Introductionmentioning

confidence: 56%

Behaviour of the topological susceptibility in two colour QCD across the finite density transition

2006

View full text Add to dashboard Cite

show abstract

“…Armed with the new method, the topological susceptibility has been measured across the deconfinement transition [9] without the ambiguities of the cooling method [23,24]. Inverse blocking is not the only technique to avoid cooling.…”

Section: Introductionmentioning

confidence: 99%

Topology at the deconfinement transition uncovered by inverse blocking in SU(2) pure gauge theory with fixed point action

et al. 1998

View full text Add to dashboard Cite

Renormalization group transformations as discussed recently in deriving fixed point actions are used to analyse the vacuum structure near to the deconfinement temperature. Monte Carlo configurations are generated using the fixed point action. We compare equilibrium configurations with configurations obtained by inverse blocking from a coarser lattice. The absence of short range vacuum fluctuations in the latter does not influence the string tension. For the inversely blocked configurations we find the following: (i) the topological susceptibility χtop is consistent with the phenomenological value in the confinement phase, (ii) χtop drops across the deconfinement transition, (iii) density and size of instantons are estimated, (iv) the topological density is found to be correlated to Abelian monopole currents and (v) the density of spacelike monopole currents becomes a confinement order parameter.

show abstract

“…There have been calculations of the temperature dependence of the topological susceptibility in pure SU(2) [7,8], pure SU(3) [9], as well as unquenched SU(3) with two light quark flavors [10]. However, these authors vary the temperature by adjusting the coupling constant, making it tricky to compare the susceptibility at different temperatures because of the different lattice length scales.…”

Section: Introductionmentioning

confidence: 99%

“…However, these authors vary the temperature by adjusting the coupling constant, making it tricky to compare the susceptibility at different temperatures because of the different lattice length scales. At larger β finite size effects may plague the calculations using small (e.g., 8 3 × 4) lattices. There is also some confusion on the behavior of the susceptibility in the SU(2) theory.…”

Section: Introductionmentioning

confidence: 99%

Instanton content of finite temperature QCD matter

Chu

Schramm

1995

Phys. Rev. D

View full text Add to dashboard Cite

We investigate the temperature dependence of the instanton content of gluon fields and their contribution to quark correlation using quenched lattice QCD and the cooling method. We found a suppression of the topological susceptibility at finite temperature, agreeing with the PCAC expectation at low temperature and enhanced suppression for temperatures at and above the deconfinement transition. For temperatures up to about 334 MeV, the topological charge correlation agrees well with a single instanton profile, though the size parameter seems to change across the phase transition. The screening wave functions for the pion and the rho become slightly more compact at higher temperatures. Lattice cooling shows no contribution from the instantons to the screening wave functions at temperatures above the phase transition.

show abstract

Behaviour of the topological susceptibility across the deconfining phase transition

Cited by 36 publications

References 18 publications

Behaviour of the topological susceptibility in two colour QCD across the finite density transition

Behaviour of the topological susceptibility in two colour QCD across the finite density transition

Topology at the deconfinement transition uncovered by inverse blocking in SU(2) pure gauge theory with fixed point action

Instanton content of finite temperature QCD matter

Contact Info

Product

Resources

About