Fixed points and the spontaneous breaking of scale invariance
We investigate critical N-component scalar field theories and the spontaneous breaking of scale invariance in three dimensions using functional renormalization. Global and local renormalization group flows are solved analytically in the infinite N limit to establish the exact phase diagram of the th...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2017
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| Sorozat: | PHYSICAL REVIEW D
95 No. 12 |
| Tárgyszavak: | |
| doi: | 10.1103/PhysRevD.95.125006 |
| mtmt: | 3254513 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/34015 |
| Tartalmi kivonat: | We investigate critical N-component scalar field theories and the spontaneous breaking of scale invariance in three dimensions using functional renormalization. Global and local renormalization group flows are solved analytically in the infinite N limit to establish the exact phase diagram of the theory including the Wilson-Fisher fixed point and a line of asymptotically safe UV fixed points. We also study the Bardeen-Moshe-Bander phenomenon of spontaneously broken scale invariance and the stability of the vacuum for general regularization. Our findings clarify a long-standing puzzle about the apparent unboundedness of the effective potential. Implications for other theories are indicated. |
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| Terjedelem/Fizikai jellemzők: | 18 |
| ISSN: | 2470-0010 |