% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{Ghosh:611508,
      author       = {Ghosh, Kausik and Kaviraj, Apratim and Paulos, Miguel F.},
      title        = {{P}olyakov blocks for the 1{D} conformal field theory
                      mixed-correlator bootstrap},
      journal      = {Physical review / D},
      volume       = {109},
      number       = {6},
      issn         = {2470-0010},
      address      = {Ridge, NY},
      publisher    = {American Physical Society},
      reportid     = {PUBDB-2024-04945, arXiv:2307.01257},
      pages        = {L061703},
      year         = {2024},
      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},
      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.},
      keywords     = {field theory: conformal (INSPIRE) / operator: composite
                      (INSPIRE) / correlation function (INSPIRE) / sum rule
                      (INSPIRE) / bootstrap (INSPIRE) / operator product expansion
                      (INSPIRE) / dimension: 1 (INSPIRE)},
      cin          = {T},
      ddc          = {530},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / DFG
                      project 390833306 - EXC 2121: Quantum Universe (390833306) /
                      FUNBOOTS - Solving Conformal Field Theories with the
                      Functional Bootstrap (101043588)},
      pid          = {G:(DE-HGF)POF4-611 / G:(GEPRIS)390833306 /
                      G:(EU-Grant)101043588},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2307.01257},
      howpublished = {arXiv:2307.01257},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2307.01257;\%\%$},
      UT           = {WOS:001195573300004},
      doi          = {10.1103/PhysRevD.109.L061703},
      url          = {https://bib-pubdb1.desy.de/record/611508},
}