By Hideo Suganuma and others at

KEK

In lattice QCD formalism, we derive an analytical gauge-invariant relation between the Polyakov loop *\langle L_P \rangle* and the Dirac eigenvalues *\lambda_n* in QCD, i.e., *\langle L_P \rangle \propto \sum_n \lambda_n^{N_t -1} \langle n|\hat U_4|n \rangle*, by considering *{\rm Tr} (\hat{U}_4\hat{\not{D}}^{N_t-1})* on a temporally odd-number lattice, where the temporal lattice... Show more

January 10, 2014

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Analytical relation between confinement and chiral symmetry breaking in terms of Polyakov loop and Dirac eigenmodes in odd-number lattice QCD

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