The background field method and critical vector models

DOI10.1007/JHEP02(2021)074zbMath1460.81039arXiv2009.13137MaRDI QIDQ2025973

Mikhail Goykhman, Vladimir Rosenhaus, Michael Smolkin

Publication date: 17 May 2021

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13137

zbMATH Keywords

conformal field theory\(1/N\) expansionfield theories in lower dimensionsnonperturbative effects

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (1)

Long-range fermions and critical dualities

Uses Software

• STR

Cites Work

• \(\mathcal N= 6\) superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Conserved currents, consistency relations, and operator product expansions in the conformally invariant \(O(N)\) vector model
• Quantum field theory in the large \(N\) limit: a review
• On fast quenches and spinning correlators
• Higher-spin currents in the Gross-Neveu model at \( 1/n^{2}\)
• All point correlation functions in SYK
• An alternative to diagrams for the critical O\((N)\) model: dimensions and structure constants to order \(1/N^2\)
• Solving the 3d Ising model with the conformal bootstrap. II: \(c\)-minimization and precise critical exponents
• Global Wilson-Fisher fixed points
• On ${C}_{J}$ and ${C}_{T}$ in the Gross–Neveu andO(N) models
• The Conformal Bootstrap
• Broken Symmetries
• The minimal conformalO(N) vector sigma model atd= 3
• Large Nf quantum field theory
• An introduction to the SYK model
• Yukawa conformal field theories and emergent supersymmetry

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