Effective strings in QED
Dec 2, 2024Citations per year
Abstract: (Springer)
Effective string theory describes the physics of long confining strings in theories, like Yang-Mills theory, where the mass gap is of the same order as the string tension T. In 2 + 1 dimensions, there is a class of confining theories, including massive QED as first analyzed by Polyakov, for which ≪ T. These theories are weakly coupled at low energies of order M, and may be analyzed perturbatively. In this paper, we analyze the physics of strings in such theories, focusing on QED, at energies of order M (but still well below ). We argue that the width of the string in these theories should be of order 1/M independently of its length, as long as the string is not exponentially long. We also compute at leading order in perturbation theory the ground state energy of a confining string on a circle, and the scattering of Nambu-Goldstone bosons on the string worldsheet.Note:
- 46 pages + appendices, 3 figures. v2: 47 pages + appendices, 3 figures. Conclusion section was added. Prepared for submission to JHEP
- Confinement
- Effective Field Theories
- Renormalization and Regularization
References(26)
Figures(3)
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