Twisted mass lattice QCD with non-degenerate quark masses

Münster, Gernot; Sudmann, Tobias

doi:10.1088/1126-6708/2006/08/085

Cited by 8 publications

(14 citation statements)

References 34 publications

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“…These two points were also noted in Ref. [24]. Third, one of the pion masses vanishes at each of the phase boundaries: m π 3 at the boundary with the CP-violating (pink colored) phase, and m π 1 at the boundary with the central (green colored) phase in the first-order scenario.…”

Section: Twisted-mass Fermions At Maximal Twistsupporting

confidence: 73%

“…[24] into the Aoki regime (m ∼ a 2 ). In the continuum-like phase, with both twisting and nondegeneracy, the eigenstates are π 1 , π 2 and π 3 , with all three pions having different masses.…”

Section: Discussionmentioning

confidence: 99%

“…[24], where a χPT calculation in this phase is carried out using the different power-counting m ≳ a. Various aspects of these results are noteworthy.…”

Section: Twisted-mass Fermions At Maximal Twistmentioning

confidence: 99%

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Phase diagram of nondegenerate twisted mass fermions

Horkel

Sharpe

2014

Phys. Rev. D

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We determine the phase diagram and pion spectrum for Wilson and twisted-mass fermions in the presence of nondegeneracy between the up and down quarks and discretization errors, using Wilson and twisted-mass chiral perturbation theory. We find that the CP-violating phase of the continuum theory (which occurs for sufficiently large nondegeneracy) is continuously connected to the Aoki phase of the lattice theory with degenerate quarks. We show that discretization effects can, in some cases, push simulations with physical masses closer to either the CP-violating phase or another phase not present in the continuum, so that at sufficiently large lattice spacings physical-point simulations could lie in one of these phases.

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Section: Twisted-mass Fermions At Maximal Twistsupporting

confidence: 73%

Section: Discussionmentioning

confidence: 99%

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Phase diagram of nondegenerate twisted mass fermions

Horkel

Sharpe

2014

Phys. Rev. D

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“…These results are consistent with those of Ref. [24], where a χ PT calculation in this phase is carried out using the different power-counting m a. Various aspects of these results are noteworthy.…”

Section: Including Discretization Effects For Wilson-like Fermionssupporting

confidence: 92%

Phase diagram of non-degenerate Wilson and twisted mass fermions

Horkel

Sharpe

2015

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

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We determine the phase diagram and pion spectrum for Wilson and twisted-mass fermions in the presence of non-degeneracy between the up and down quark and discretization errors, using Wilson and twisted-mass chiral perturbation theory. We find that the CP-violating phase of the continuum theory (which occurs for sufficiently large non-degeneracy) is continuously connected to the Aoki phase of the lattice theory with degenerate quarks. We show that discretization effects can, in some cases, push simulations with physical masses closer to either the CP-violating phase or another phase not present in the continuum, so that at sufficiently large lattice spacings physical-point simulations could lie in one of these phases. *

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“…Nevertheless, our simulations allow to estimate the values of β and µ where the lattice spacing is, say, a 0.1 fm and safe simulations with a pion mass below 300 MeV become possible. χPT formulae for the case of non-degenerate quarks have already been developed [48] and have been confronted to our simulation results, see Ref. [47] for a discussion of this point.…”

Section: Pos(lat2006)203mentioning

confidence: 97%

First results with two light flavours of maximally twisted mass

Urbach¹

2006

Proceedings of XXIVth International Symposium on Lattice Field Theory — PoS(LAT2006)

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We report on first results of an ongoing effort to simulate lattice QCD with two degenerate flavours of quarks by means of the twisted mass formulation tuned to maximal twist. By utilising recent improvements of the HMC algorithm, pseudo-scalar masses well below 300 MeV are simulated on volumes L 3 · T with T = 2L and L > 2 fm and at values of the lattice spacing a 0.1 fm. We present first evidence that scaling violations in the pseudo-scalar decay constant are small and well compatible with O(a) improvement. Additionally, exploratory results for the case of N f = 2 + 1 + 1 flavours are discussed.

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Twisted mass lattice QCD with non-degenerate quark masses

Cited by 8 publications

References 34 publications

Phase diagram of nondegenerate twisted mass fermions

Phase diagram of nondegenerate twisted mass fermions

Phase diagram of non-degenerate Wilson and twisted mass fermions

First results with two light flavours of maximally twisted mass

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