Multiplicative anomaly and finite charge density
نویسندگان
چکیده
منابع مشابه
Multiplicative anomaly and finite charge density
In field theory we often have to deal with functional determinants of differential operators. These, as formal products of infinite eigenvalues, are divergent objects (UV divergence) and a regularization scheme is therefore necessary. One of the most successful and powerful ones is the zeta-function regularization method [1–5]. It permits us to give a meaning to the ill defined quantity ln detA...
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Abstract: In a recent work, S. Dowker has shed doubt on a recipe used in computing the partition function for a matrix valued operator. This recipe, advocated by Benson, Bernstein and Dodelson, leads naturally to the so called multiplicative anomaly for the zeta-function regularized functional determinants. In this letter we present arguments in favour of the mentioned prescription, showing tha...
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Elizalde, Vanzo, and Zerbini have shown that the effective action of two free Euclidean scalar fields in flat space contains a ‘multiplicative anomaly’ when ζfunction regularization is used. This is related to the Wodzicki residue. I show that there is no anomaly when using a wide range of other regularization schemes and that the anomaly can be removed by an unusual choice of renormalization s...
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ژورنال
عنوان ژورنال: Nuclear Physics A
سال: 1998
ISSN: 0375-9474
DOI: 10.1016/s0375-9474(98)00520-x