An Analytic Yang-Mills Vacuum Calculation in $3+1d$
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909425677107200 |
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| author | Grable, Seth |
| author_facet | Grable, Seth |
| contents | I present a novel analytic framework for $SU(N)$ Yang-Mills theory in the four-dimensional continuum. Background and effective field theory techniques are used to include non-perturbative contributions from cubic and quartic interactions. This approach is inspired by Savvidy who claims first-order contributions from quartic interactions stabilize IR divergence found at one-loop order, making possible IR finite Yang-Mills calculations. I assess the validity of this claim and discuss the implications of my findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13042 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Analytic Yang-Mills Vacuum Calculation in $3+1d$ Grable, Seth Nuclear Theory High Energy Physics - Theory I present a novel analytic framework for $SU(N)$ Yang-Mills theory in the four-dimensional continuum. Background and effective field theory techniques are used to include non-perturbative contributions from cubic and quartic interactions. This approach is inspired by Savvidy who claims first-order contributions from quartic interactions stabilize IR divergence found at one-loop order, making possible IR finite Yang-Mills calculations. I assess the validity of this claim and discuss the implications of my findings. |
| title | An Analytic Yang-Mills Vacuum Calculation in $3+1d$ |
| topic | Nuclear Theory High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.13042 |