Perturbative path-integral of string fields and the A∞ structure of the BV master equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F22%3A00568016" target="_blank" >RIV/68378271:_____/22:00568016 - isvavai.cz</a>
Result on the web
<a href="https://hdl.handle.net/11104/0339349" target="_blank" >https://hdl.handle.net/11104/0339349</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/ptep/ptac132" target="_blank" >10.1093/ptep/ptac132</a>
Alternative languages
Result language
angličtina
Original language name
Perturbative path-integral of string fields and the A∞ structure of the BV master equation
Original language description
The perturbative path-integral gives a morphism of the (quantum) A∞ structure intrinsic to each quantum field theory, which we show explicitly on the basis of the homological perturbation. As is known, in the Batalin–Vilkovisky (BV) formalism, any effective action also solves the BV master equation, which implies that the path-integral can be understood as a morphism of the BV differential. Since each solution of the BV master equation is in one-to-one correspondence with a quantum A∞ structure, the path-integral preserves this intrinsic A∞ structure of quantum field theory, where A∞ reduces to L∞ whenever multiplications of space-time fields are graded commutative. We apply these ideas to string-field theory and (re-)derive some quantities based on the perturbative path-integral, such as effective theories with finite α′, reduction of gauge and unphysical degrees, the S-matrix, and gauge-invariant observables.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
<a href="/en/project/GX20-25775X" target="_blank" >GX20-25775X: Applied String Field Theory</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Progress of Theoretical and Experimental Physics
ISSN
2050-3911
e-ISSN
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Volume of the periodical
2022
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
44
Pages from-to
113B04
UT code for WoS article
000881798500004
EID of the result in the Scopus database
2-s2.0-85144957055