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Broken Scale Invariance in Scalar Field Theory
Abstract
We use scalar-field perturbation theory as a laboratory to study broken scale invariance. We pay particular attention to scaling laws (Ward identities for the scale current) and find that they have unusual anomalies whose presence might have been guessed from renormalization-group arguments. The scaling laws also appear to provide a relatively simple way of computing the renormalized amplitudes of the theory, which sidesteps the overlapping-divergence problem.
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Citations
Cited by
An introduction to lattice gauge theory and spin systems
Kogut, J. B. (1979) · Reviews of Modern Physics · doi:10.1103/revmodphys.51.659 · Cited by 2,029
Non-perturbative renormalization flow in quantum field theory and statistical physics
Berges, J., Tetradis, N., & Wetterich, C. (2002) · Physics Reports · doi:10.1016/s0370-1573(01)00098-9 · Cited by 1,548
Einstein gravity as a symmetry-breaking effect in quantum field theory
Adler, S. L. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.729 · Cited by 699
The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
The lattice gauge theory approach to quantum chromodynamics
Kogut, J. B. (1983) · Reviews of Modern Physics · doi:10.1103/revmodphys.55.775 · Cited by 555
Metadata
- Authors
- Callan, C. G.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1970-10-15
- Volume
- 2
- Issue
- 8
- Pages
- 1541-1547
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2117136487
- Cited by
- 900
- References
- 0
- FWCI
- 24.88
- Type
- journal article
- Language
- en
- Open access
- closed
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- Callan, C. G. (1970). Broken Scale Invariance in Scalar Field Theory. Physical Review D. https://doi.org/10.1103/physrevd.2.1541
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