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Chiral magnetization of non-Abelian vacuum: a lattice study · Around

2009

Chiral magnetization of non-Abelian vacuum: a lattice study

Buividovich, P. V., Chernodub, M. N., Luschevskaya, E. V. et al.

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The chiral magnetization properties of cold and hot vacua are studied using quenched simulations in lattice Yang-Mills theory.

In weak external magnetic fields the magnetization is proportional to the first power of the magnetic field.
We evaluate numerically the coefficient of the proportionality (the chiral susceptibility) using near-zero eigenmodes of overlap fermions.
We found that the product of the chiral susceptibility and the chiral condensate equals to 46(3) MeV.

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P. V. Buividovich, M. N. Chernodub, E. V. Luschevskaya and M. I. Polikarpov, arXiv:0812.1740 [hep-lat]

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Here μ \mu and α \alpha have different normalizations compared to the ones used in Eq. ( 24

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The minus sign appears in the right hand side of Eq. ( 32

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