Residual Chiral Symmetry Breaking in Domain-Wall Fermions

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The authors study the effective quark mass induced by the finite separation of the domain walls in the domain-wall formulation of chiral fermion as the function of the size of the fifth dimension ($L-s$), the gauge coupling $beta$ and the physical volume $V$. They measure the mass by calculating the small eigenvalues of the hermitian domain-wall Dirac operator ($H-[rm DWF](m-0))$ in the topologically-nontrivial quenched SU(3) gauge configurations. The authors find that the induced quark mass is nearly independent of the physical volume, decays exponentially as a function of $L-s$, and has a strong dependence on the size of quantum fluctuations ... continued below

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808 Kilobytes pages

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Jung, Chulwoo; Gadiyak, Valeriya; Ji, Xiangdong & Edwards, Robert G. September 1, 2000.

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The authors study the effective quark mass induced by the finite separation of the domain walls in the domain-wall formulation of chiral fermion as the function of the size of the fifth dimension ($L-s$), the gauge coupling $beta$ and the physical volume $V$. They measure the mass by calculating the small eigenvalues of the hermitian domain-wall Dirac operator ($H-[rm DWF](m-0))$ in the topologically-nontrivial quenched SU(3) gauge configurations. The authors find that the induced quark mass is nearly independent of the physical volume, decays exponentially as a function of $L-s$, and has a strong dependence on the size of quantum fluctuations controlled by $beta$. The effect of the choice of the lattice gluon action is also studied.

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808 Kilobytes pages

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  • Report No.: JLAB-THY-00-27
  • Report No.: DOE/ER/40150-1752
  • Report No.: hep-lat/0007033
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 764809
  • Archival Resource Key: ark:/67531/metadc719302

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  • September 1, 2000

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  • Sept. 29, 2015, 5:31 a.m.

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  • Feb. 5, 2016, 9:40 p.m.

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Jung, Chulwoo; Gadiyak, Valeriya; Ji, Xiangdong & Edwards, Robert G. Residual Chiral Symmetry Breaking in Domain-Wall Fermions, article, September 1, 2000; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc719302/: accessed September 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.