Skip to content

Research at St Andrews

Asymptotic safety of scalar field theories

Research output: Contribution to journalArticle

Author(s)

Daniel F. Litim, Matthew J. Trott

School/Research organisations

Abstract

We study 3d O(N) symmetric scalar field theories using Polchinski’s renormalization group. In the infinite N limit the model is solved exactly including at strong coupling. At short distances the theory is described by a line of asymptotically safe ultraviolet fixed points bounded by asymptotic freedom at weak, and the Bardeen-Moshe-Bander phenomenon at strong sextic coupling. The Wilson-Fisher fixed point arises as an isolated low-energy fixed point. Further results include the conformal window for asymptotic safety, convergence-limiting poles in the complex field plane, and the phase diagram with regions of first and second order phase transitions. We substantiate a duality between Polchinski’s and Wetterich’s versions of the functional renormalization group, also showing that eigenperturbations are identical at any fixed point. At a critical sextic coupling, the duality is worked out in detail to explain the spontaneous breaking of scale symmetry responsible for the generation of a light dilaton. Implications for asymptotic safety in other theories are indicated.
Close

Details

Original languageEnglish
Article number125006
Number of pages24
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume98
Issue number12
DOIs
Publication statusPublished - 12 Dec 2018

Discover related content
Find related publications, people, projects and more using interactive charts.

View graph of relations

Related by journal

  1. Fermion self-trapping in the optical geometry of Einstein-Dirac solitons

    Leith, P. E. D., Hooley, C. A., Horne, K. & Dritschel, D. G., 15 May 2020, In : Physical Review D - Particles, Fields, Gravitation and Cosmology. 101, 10, 13 p., 106012 .

    Research output: Contribution to journalArticle

  2. Cosmological implications of baryon acoustic oscillation measurements

    Aubourg, É., Bailey, S., Bautista, J. E., Beutler, F., Bhardwaj, V., Bizyaev, D., Blanton, M., Blomqvist, M., Bolton, A. S., Bovy, J., Brewington, H., Brinkmann, J., Brownstein, J. R., Burden, A., Busca, N. G., Carithers, W., Chuang, C-H., Comparat, J., Croft, R. A. C., Cuesta, A. J. & 76 others, Dawson, K. S., Delubac, T., Eisenstein, D. J., Font-Ribera, A., Ge, J., Le Goff, J-M., Gontcho, S. G. A., Gott, J. R., Gunn, J. E., Guo, H., Guy, J., Hamilton, J-C., Ho, S., Honscheid, K., Howlett, C., Kirkby, D., Kitaura, F. S., Kneib, J-P., Lee, K-G., Long, D., Lupton, R. H., Magaña, M. V., Malanushenko, V., Malanushenko, E., Manera, M., Maraston, C., Margala, D., McBride, C. K., Miralda-Escudé, J., Myers, A. D., Nichol, R. C., Noterdaeme, P., Nuza, S. E., Olmstead, M. D., Oravetz, D., Pâris, I., Padmanabhan, N., Palanque-Delabrouille, N., Pan, K., Pellejero-Ibanez, M., Percival, W. J., Petitjean, P., Pieri, M. M., Prada, F., Reid, B., Rich, J., Roe, N. A., Ross, A. J., Ross, N. P., Rossi, G., Rubiño-Martín, J. A., Sánchez, A. G., Samushia, L., Santos, R. T. G., Scóccola, C. G., Schlegel, D. J., Schneider, D. P., Seo, H-J., Sheldon, E., Simmons, A., Skibba, R. A., Slosar, A., Strauss, M. A., Thomas, D., Tinker, J. L., Tojeiro, R., Vazquez, J. A., Viel, M., Wake, D. A., Weaver, B. A., Weinberg, D. H., Wood-Vasey, W. M., Yèche, C., Zehavi, I., Zhao, G-B. & BOSS Collaboration, U., 14 Dec 2015, In : Physical review. D, Particles, fields, gravitation, and cosmology. 92, 12, 123516.

    Research output: Contribution to journalArticle

  3. Gravitational parameter estimation in a waveguide

    Doukas, J., Westwood, L., Faccio, D., Di Falco, A. & Fuentes, I., 8 Jul 2014, In : Physical review. D, Particles, fields, gravitation, and cosmology. 90, 2, 11 p., 024022.

    Research output: Contribution to journalArticle

  4. Ultrarelativistic oscillon collisions

    Amin, M. A., Banik, I., Negreanu, C. & Yang, I. S., 30 Oct 2014, In : Physical Review D - Particles, Fields, Gravitation and Cosmology. 90, 8, 6 p., 085024.

    Research output: Contribution to journalArticle

ID: 257367633

Top