Chiral condensate and topological susceptibility in the 2-flavour Schwinger model

Bietenholz, Wolfgang; Hip, Ivan

doi:10.22323/1.066.0079

Cited by 3 publications

(3 citation statements)

References 13 publications

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“…On the other hand, the BCNW formula is promising for applications in QCD, where typical simulations take place at Q 2 = O (10). This observation is supported by studies in the Schwinger model [12,15,17], the quantum rotor with a potential [14] and in 4d SU (2) gauge theory [16], which will be reported in detail in Ref. [13].…”

Section: Discussionmentioning

confidence: 71%

Extracting Physics from Topologically Frozen Markov Chains

Gerber¹,

Bautista²,

Bietenholz³

et al. 2014

Preprint

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In Monte Carlo simulations with a local update algorithm, the auto-correlation with respect to the topological charge tends to become very long. In the extreme case one can only perform reliable measurements within fixed sectors. We investigate approaches to extract physical information from such topologically frozen simulations. Recent results in a set of σ -models and gauge theories are encouraging. In a suitable regime, the correct value of some observable can be evaluated to a good accuracy. In addition there are ways to estimate the value of the topological susceptibility.

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Section: Discussionmentioning

confidence: 71%

Extracting Physics from Topologically Frozen Markov Chains

Gerber¹,

Bautista²,

Bietenholz³

et al. 2014

Preprint

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Section: Pos(lattice2014)320mentioning

confidence: 73%

Topologically restricted measurements in lattice sigma-models

Gerber¹,

Mejía-Díaz²,

Bautista³

et al. 2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

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“…A method to derive from them an approximate result for the physical value (properly summed over all sectors) has been suggested in Ref. [31] and tested successfully in the 2-flavor Schwinger model [32]. The tremendous efforts to simulate QCD with dynamical overlap quarks are reviewed in Ref.…”

Section: ε-Regimementioning

confidence: 99%

Chiral Fermions on the Lattice

Bietenholz¹,

Ayala²,

Contreras³

et al. 2011

AIP Conference Proceedings

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In the last century the non-perturbative regularization of chiral fermions was a long-standing problem. We review how this problem was finally overcome by the formulation of a modified but exact form of chiral symmetry on the lattice. This also provides a sound definition of the topological charge of lattice gauge configurations. We illustrate a variety of applications to QCD in the p-, the epsilon- and the delta-regime, where simulation results can now be related to Random Matrix Theory and Chiral Perturbation Theory. The latter contains Low Energy Constants as free parameters, and we comment on their evaluation from first principles of QCD.Comment: 7 pages, 2 figures, talk presented at the XII Mexican Workshop on Particles and Fields, Mazatlan, Nov. 200

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Chiral condensate and topological susceptibility in the 2-flavour Schwinger model

Cited by 3 publications

References 13 publications

Extracting Physics from Topologically Frozen Markov Chains

Extracting Physics from Topologically Frozen Markov Chains

Topologically restricted measurements in lattice sigma-models

Chiral Fermions on the Lattice

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