Conformal invariance for Wilson actions
We discuss the realization of conformal invariance for Wilson actions using the formalism of the exact renormalization group. This subject has been studied extensively in the recent works of O. J. Rosten. The main purpose of this paper is to reformulate Rosten's formulas for conformal transform...
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| Published in | arXiv.org |
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| Main Author | |
| Format | Paper Journal Article |
| Language | English |
| Published |
Ithaca
Cornell University Library, arXiv.org
09.01.2018
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| ISSN | 2331-8422 |
| DOI | 10.48550/arxiv.1705.01239 |
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| Abstract | We discuss the realization of conformal invariance for Wilson actions using the formalism of the exact renormalization group. This subject has been studied extensively in the recent works of O. J. Rosten. The main purpose of this paper is to reformulate Rosten's formulas for conformal transformations using a method developed earlier for the realization of any continuous symmetry in the exact renormalization group formalism. The merit of the reformulation is simplicity and transparency via the consistent use of equation-of-motion operators. We derive equations that imply the invariance of the Wilson action under infinitesimal conformal transformations which are non-linearly realized but form a closed conformal algebra. The best effort has been made to make the paper self-contained; ample background on the formalism is provided. |
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| AbstractList | PTEP2017.083B05 We discuss the realization of conformal invariance for Wilson actions using
the formalism of the exact renormalization group. This subject has been studied
extensively in the recent works of O. J. Rosten. The main purpose of this paper
is to reformulate Rosten's formulas for conformal transformations using a
method developed earlier for the realization of any continuous symmetry in the
exact renormalization group formalism. The merit of the reformulation is
simplicity and transparency via the consistent use of equation-of-motion
operators. We derive equations that imply the invariance of the Wilson action
under infinitesimal conformal transformations which are non-linearly realized
but form a closed conformal algebra. The best effort has been made to make the
paper self-contained; ample background on the formalism is provided. We discuss the realization of conformal invariance for Wilson actions using the formalism of the exact renormalization group. This subject has been studied extensively in the recent works of O. J. Rosten. The main purpose of this paper is to reformulate Rosten's formulas for conformal transformations using a method developed earlier for the realization of any continuous symmetry in the exact renormalization group formalism. The merit of the reformulation is simplicity and transparency via the consistent use of equation-of-motion operators. We derive equations that imply the invariance of the Wilson action under infinitesimal conformal transformations which are non-linearly realized but form a closed conformal algebra. The best effort has been made to make the paper self-contained; ample background on the formalism is provided. |
| Author | Sonoda, Hidenori |
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| BackLink | https://doi.org/10.48550/arXiv.1705.01239$$DView paper in arXiv https://doi.org/10.1093/ptep/ptx114$$DView published paper (Access to full text may be restricted) |
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| Copyright | 2018. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
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| DOI | 10.48550/arxiv.1705.01239 |
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| Title | Conformal invariance for Wilson actions |
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