Quantum $${L_\infty}$$ L ∞ Algebras and the Homological Perturbation Lemma
| Autor: | Martin Doubek, Ján Pulmann, Branislav Jurčo |
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| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Homotopy 010102 general mathematics Scalar (mathematics) Perturbation (astronomy) Quantum algebra Statistical and Nonlinear Physics Mathematics::Algebraic Topology 01 natural sciences Minimal model symbols.namesake 0103 physical sciences symbols Feynman diagram 010307 mathematical physics 0101 mathematics Quantum Effective action Mathematical Physics Mathematics |
| Zdroj: | Communications in Mathematical Physics. 367:215-240 |
| ISSN: | 1432-0916 0010-3616 |
| Popis: | Quantum $${L_\infty}$$ algebras are a generalization of $${L_\infty}$$ algebras with a scalar product and with operations corresponding to higher genus graphs. We construct a minimal model of a given quantum $${L_\infty}$$ algebra via the homological perturbation lemma and show that it’s given by a Feynman diagram expansion, computing the effective action in the finite-dimensional Batalin–Vilkovisky formalism. We also construct a homotopy between the original and this effective quantum $${L_\infty}$$ algebra. |
| Databáze: | OpenAIRE |
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