Mass spectroscopy using Borici–Creutz fermions on 2D lattice

Goswami, Jishnu; Chakrabarti, Dipankar; Basak, S.

doi:10.1142/s0217751x17500592

Cited by 3 publications

(4 citation statements)

References 33 publications

(37 reference statements)

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“…In recent times, we have initiated a series of detailed numerical studies to ascertain its viability in lattice simulations. Using Borici-Creutz fermions we have studied discrete chiral symmetry breaking in a two dimensional Gross-Neveu model [11] and the mass spectroscopy in 2-dimensional field theories [12] in lattice. In this work, we extend our investigations to 4-dimensional lattice and attempt to simulate QCD with Borici-Creutz action.…”

Section: Dirac-like Equation (Quasi-relativistic Dirac Equation) Crementioning

confidence: 99%

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Mixed action with Borici-Creutz fermions on a staggered sea

2017

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Mixed action lattice QCD with Borici-Creutz valence quarks on staggered sea is investigated.The counter terms in Borici-Creutz action are fixed nonperturbatively to restore the broken parity and time symmetries. When symmetries are restored, the usual signatures of partial quenching are recovered. We find the scalar correlators to be negative for lower valence quark masses but the errorbars are rather large when their mean values are negative at earlier time slices. The size of unitarity violation due to different discretization of valence and sea quark is determined by measuring ∆ mix and is found to be comparable with other mixed action studies.

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Section: Dirac-like Equation (Quasi-relativistic Dirac Equation) Crementioning

confidence: 99%

“…Overlap on Clover [15] 0.09 0.55 (23) DWF on staggered [14] 0.125 0.249 (6) DWF on staggered [13] 0.12 0.211 (16) DWF on staggered [13] 0.09 0.173 (39) Overlap on DWF [17] 0.114 0.030 (6) Overlap on DWF [17] 0.085 0.033 (12) Overlap on HISQ [40] 0.12 0.112 (11) BC…”

Section: ∆ MIXmentioning

confidence: 99%

Mixed action with Borici-Creutz fermions on a staggered sea

2017

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“…The chiral phase transition of the GN model with minimally doubled Borici-Creutz fermion has been investigated in detail in [26]. The mass spectrum of GN model has been studied in [27,28].…”

Section: Introductionmentioning

confidence: 99%

Generative learning for the problem of critical slowing down in lattice Gross-Neveu model

2022

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In lattice field theory, Monte Carlo simulation algorithms get highly affected by critical slowing down in the critical region, where autocorrelation time increases rapidly. Hence the cost of generation of lattice configurations near the critical region increases sharply. In this paper, we use a Conditional Generative Adversarial Network (C-GAN) for sampling lattice configurations. We train the C-GAN on the dataset consisting of Hybrid Monte Carlo (HMC) samples in regions away from the critical region, i.e., in the regions where the HMC simulation cost is not so high. Then we use the trained C-GAN model to generate independent samples in the critical region. We perform both interpolation and extrapolation to the critical region. Thus, the overall computational cost is reduced. We test our approach for Gross-Neveu model in 1+1 dimension. We find that the observable distributions obtained from the proposed C-GAN model match with those obtained from HMC simulations, while circumventing the problem of critical slowing down.

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“…Previously, using BC fermions we have studied discrete chiral symmetry breaking in a two-dimensional Gross-Neveu model [7] and mass spectroscopy in two-dimensional field theories [8] in lattice. In this work, we extend our investigations to four-dimensional lattice.…”

Section: Introductionmentioning

confidence: 99%

Lattice QCD with mixed action – Borici-Creutz valence quark on staggered sea

2018

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Abstract. Mixed action lattice QCD with Borici-Creutz valence quarks on staggered sea is investigated. The counter terms in Borici-Creutz action are fixed nonperturbatively to restore the broken symmetries. On symmetry restoration, the usual signatures of partial quenching / unitarity violation like negative scalar correlator are observed. The size of unitarity violation due to different discretization of valence and sea quark is determined by measuring ∆ mix .

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Mass spectroscopy using Borici–Creutz fermions on 2D lattice

Cited by 3 publications

References 33 publications

Mixed action with Borici-Creutz fermions on a staggered sea

Mixed action with Borici-Creutz fermions on a staggered sea

Generative learning for the problem of critical slowing down in lattice Gross-Neveu model

Lattice QCD with mixed action – Borici-Creutz valence quark on staggered sea

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