We study properties of field redefintions in QFT. First, by exploring its effects on the S-matrix, leading to the equivalence theorem of the S-matrix. Second, we discuss how, in Effective Field Theories, field redefinitions have to respect the power counting. Third, we discuss applications of field redefinitions to the non-perturbative RG, making only the essential couplings scale dependent. This becomes very important in the case of physical systems with many couplings. We apply this to the 3 dimensional Ising model.
Field Redefinitions in QFT / Benhaddouche, Zakaria. - (2022 Jan 31).
Field Redefinitions in QFT
BENHADDOUCHE, ZAKARIA
2022-01-31
Abstract
We study properties of field redefintions in QFT. First, by exploring its effects on the S-matrix, leading to the equivalence theorem of the S-matrix. Second, we discuss how, in Effective Field Theories, field redefinitions have to respect the power counting. Third, we discuss applications of field redefinitions to the non-perturbative RG, making only the essential couplings scale dependent. This becomes very important in the case of physical systems with many couplings. We apply this to the 3 dimensional Ising model.File in questo prodotto:
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Field_redifinitions.pdf
embargo fino al 31/01/2025
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