Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On conditions for the nonperturbative equivalence of ultraviolet cut-off
  and dimensional regularization schemes   We consider procedures through which an ultraviolet cut-off regularization
scheme can be modified to reproduce the same results for nonperturbative
renormalized Green's functions as obtained from a dimensional regularization
scheme. These issues are considered within the Dyson-Schwinger equation
framework, where ultraviolet cut-off regularization can lead to explicit
violations of gauge invariance. As a specific illustration, we consider the
electron self-energy in quenched QED_4 in both schemes and establish those
procedures for which the UV cut-off scheme can be expected to lead to the
dimensional regularization results. We also compare results from precise
numerical studies using the two types of regularization.

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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th