Chiral perturbation theory at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">O</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo></mml:math>for lattice QCD

Bär, Oliver; Rupak, Gautam; Shoresh, Noam

doi:10.1103/physrevd.70.034508

Cited by 157 publications

(253 citation statements)

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“…These phase structures of lattice QCD with Wilson fermions can be described within the framework of Wilson chiral perturbation theory [2][3][4][5][6][7][8]. This low energy effective theory of lattice QCD with Wilson fermions describes discretization effects by means of additional terms in the chiral Lagrangian (see [9,10] for reviews).…”

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confidence: 99%

Realization of the Sharpe-Singleton scenario

2012

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The microscopic spectral density of the Wilson Dirac operator for two flavor lattice QCD is analyzed. The computation includes the leading order a 2 corrections of the chiral Lagrangian in the microscopic limit. The result is used to demonstrate how the Sharpe-Singleton first order scenario is realized in terms of the eigenvalues of the Wilson Dirac operator. We show that the Sharpe-Singleton scenario only takes place in the theory with dynamical fermions whereas the Aoki phase can be realized in the quenched as well as the unquenched theory. Moreover, we give constraints imposed by γ 5 -Hermiticity on the additional low energy constants of Wilson chiral perturbation theory.

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confidence: 99%

Realization of the Sharpe-Singleton scenario

2012

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“…The construction of the chiral effective theory for Lattice QCD with Wilson fermions, so-called Wilson ChPT (WChPT), has become standard by now. From a conceptional point of view there is nothing new in applying the familiar techniques [6,11,12,13] to 2+1 flavor lattice QCD. The only non-trivial choice one has to make is the order counting one adopts in the chiral expansion, which we are going to explain in this section.…”

Section: A the Order Countingmentioning

confidence: 99%

Pseudoscalar meson masses in Wilson chiral perturbation theory for2+1flavors

et al. 2006

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“…Hadron spectrum of QCD with one quark flavor a can be also included [24,25,26,27,28]. The pseudo-Goldstone fields are parameterized by a graded matrix…”

Section: Pos(lattice 2007)135mentioning

confidence: 99%

QCD with one quark flavor: II. Analysis and chiral perturbation theory

Farchioni¹,

Sudmann²

2008

Proceedings of the XXV International Symposium on Lattice Field Theory — PoS(LATTICE 2007)

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The hadron spectrum of one flavor QCD is studied by Monte Carlo simulations. The Symanzik tree-level-improved Wilson action is used for the gauge field and the Wilson action for the fermion. The theory is simulated by a polynomial hybrid Monte Carlo algorithm (PHMC). The mass spectrum of hadronic bound states is investigated at two different lattice spacings: a 0.37 r 0 and a 0.27 r 0 , corresponding to 0.19 fm and 0.13 fm in ordinary QCD. The lattice extension is fixed to L 4.4 r 0 ( 2.2 fm). The lightest simulated quark mass corresponds to a pion with mass ∼ 270 MeV. Properties of the theory are analyzed by making use of the ideas of partially quenched chiral perturbation theory (PQChPT). The symmetry of the single flavor theory can be artificially enhanced by adding extra valence quarks, which can be interpreted as u and d quarks. Operators in the valence pion sector can be built. Masses and decay constants are analyzed by using PQChPT formulae at next-to-leading order.

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Chiral perturbation theory atO(a2)for lattice QCD

Cited by 157 publications

References 39 publications

Realization of the Sharpe-Singleton scenario

Realization of the Sharpe-Singleton scenario

Pseudoscalar meson masses in Wilson chiral perturbation theory for2+1flavors

QCD with one quark flavor: II. Analysis and chiral perturbation theory

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