Journal Article

PUBDB-2024-04945

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Polyakov blocks for the 1D conformal field theory mixed-correlator bootstrap

Ghosh, K. (Corresponding author) ; Kaviraj, A.DESY* ; Paulos, M. F.

2024
American Physical Society Ridge, NY

This record in other databases:        

Please use a persistent id in citations: doi:10.1103/PhysRevD.109.L061703  doi:10.3204/PUBDB-2024-04945

Report No.: arXiv:2307.01257

Abstract: We introduce manifestly crossing-symmetric expansions for arbitrary systems of 1D CFT correlators. These expansions are given in terms of certain Polyakov blocks which we define and show how to compute efficiently. Equality of operator product expansion and Polyakov block expansions leads to sets of sum rules that any mixed correlator system must satisfy. The sum rules are diagonalized by correlators in tensor product theories of generalized free fields. We show that it is possible to do a change of a basis that diagonalizes instead mixed correlator systems involving elementary and composite operators in a single field theory. As an application, we find the first nontrivial examples of optimal bounds, saturated by the mixed correlator system ϕ,ϕ2 in the theory of a single generalized free field.

Keyword(s): field theory: conformal ; operator: composite ; correlation function ; sum rule ; bootstrap ; operator product expansion ; dimension: 1

Note: Phys.Rev.D 109 (2024) 6, L061703. 6+7 pages, 4 figures, Fig. 1 modified for clarity, minor corrections, further explanations, and references added

---

Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project 390833306 - EXC 2121: Quantum Universe (390833306) (390833306)
3. FUNBOOTS - Solving Conformal Field Theories with the Functional Bootstrap (101043588) (101043588)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

---

Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Electronics and Telecommunications Collection ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

---