Study of gauge (in)dependence of monopole dynamics

Ejiri, Shinji; Kitahara, Shun-ichi; Matsubara, Yoshimi; Okude, Tsuyoshi; Suzuki, Tsuneo; Yasuta, Koji

doi:10.1016/0920-5632(96)00066-7

Cited by 9 publications

(15 citation statements)

References 13 publications

(8 reference statements)

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“…Some people seem to be troubled by the fact that abelian dominance depends on the gauge choice and there are still efforts in the literature to prove the contrary [2]. Our result for the Polyakov gauge strongly suggests that the physics of the abelian projection is not only very strongly gauge dependent but in most of the arbitrarily chosen gauges the abelian projected configurations do not even have a consistent physical meaning.…”

Section: The Gauge Choicementioning

confidence: 63%

“…Therefore any physical quantity derived from Polyakov loops will be trivially and exactly reproduced after abelian projection in this gauge. In particular there is exact abelian dominance for the string tension measured with Polyakov loop correlators [2].…”

Section: The Gauge Choicementioning

confidence: 99%

“…This is taken as evidence for abelian dominance (see e.g. [2] for the case of Polyakov loops in the Polyakov gauge).…”

Section: The Gauge Choicementioning

confidence: 99%

“…This vector is obtained from σ 3 by applying to it the orthogonal transformation corresponding to U in the adjoint representation of SU (2). Consequently the trace which is summed in eq.…”

Section: The Gauge Choicementioning

confidence: 99%

“…This was originally perceived as a nuisance and there are still attempts to prove that the physical properties of the projected system are independent of the gauge choice (see e.g. [2]). Up to now the only gauge in which abelian projected system seems to capture the physics of the non-abelian model is the maximal abelian gauge [3].…”

Section: Introductionmentioning

confidence: 99%

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Remarks on Abelian dominance

Kovács

Schram

1997

Phys. Rev. D

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We used a renormalisation group based smoothing to address two questions related to abelian dominance. Smoothing drastically reduces short distance fluctuations but it preserves the long distance physical properties of the SU(2) configurations. This enabled us to extract the abelian heavy-quark potential from time-like Wilson loops on Polyakov gauge projected configurations. We obtained a very small string tension which is inconsistent with the string tension extracted from Polyakov loop correlators. This shows that the Polyakov gauge projected abelian configurations do not have a consistent physical meaning. We also applied the smoothing on SU(2) configurations to test how sensitive abelian dominance in the maximal abelian gauge is to the short distance fluctuations. We found that on smoothed SU(2) configurations the abelian string tension was about 30% smaller than the SU(2) string tension which was unaffected by smoothing. This suggests that the approximate abelian dominance found with the Wilson action is probably an accident and it has no fundamental physical relevance.

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Section: The Gauge Choicementioning

confidence: 63%

Section: The Gauge Choicementioning

confidence: 99%

“…This is taken as evidence for abelian dominance (see e.g. [2] for the case of Polyakov loops in the Polyakov gauge).…”

Section: The Gauge Choicementioning

confidence: 99%

“…This vector is obtained from σ 3 by applying to it the orthogonal transformation corresponding to U in the adjoint representation of SU (2). Consequently the trace which is summed in eq.…”

Section: The Gauge Choicementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Remarks on Abelian dominance

Kovács

Schram

1997

Phys. Rev. D

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Dual Lattice Blockspin Transformation and Perfect Monopole Action for Su(2) Gauge Theory

Suzuki

Chernodub

Kato

et al.

NATO Science Series: B:

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Recent studies of confinement based on the idea of abelian monopole condensation are reviewed briefly. Emphasis is placed on the approach to get the effective monoole action using the blockspin transformation on the dual lattice. The trajectory obtained looks to be the renormalized one in SU (2) QCD. A disorder parameter of confinement is constructed. Monopole condensation occurs also in SU (3) QCD.

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Hedgehogs in Wilson loops and phase transition in SU(2) Yang–Mills theory

2006

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We suggest that the gauge-invariant hedgehoglike structures in the Wilson loops are physically interesting degrees of freedom in the Yang-Mills theory. The trajectories of these "hedgehog loops" are closed curves corresponding to center-valued (untraced) Wilson loops and are characterized by the center charge and winding number. We show numerically in the SU(2) Yang-Mills theory that the density of hedgehog structures in the thermal Wilson-Polyakov line is very sensitive to the finite-temperature phase transition. The (additively normalized) hedgehog line density behaves like an order parameter: the density is almost independent of the temperature in the confinement phase and changes substantially as the system enters the deconfinement phase. In particular, our results suggest that the (static) hedgehog lines may be relevant degrees of freedom around the deconfinement transition and thus affect evolution of the quark-gluon plasma in high-energy heavy-ion collisions.

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Study of gauge (in)dependence of monopole dynamics

Cited by 9 publications

References 13 publications

Remarks on Abelian dominance

Remarks on Abelian dominance

Dual Lattice Blockspin Transformation and Perfect Monopole Action for Su(2) Gauge Theory

Hedgehogs in Wilson loops and phase transition in SU(2) Yang–Mills theory

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