Zobrazeno 1 - 10
of 159
pro vyhledávání: '"Tanimoto, Yoh"'
We give an equivalence of categories between: (i) M\"obius vertex algebras which are equipped with a choice of generating family of quasiprimary vectors, and (ii) (not-necessarily-unitary) M\"obius-covariant Wightman conformal field theories on the u
Externí odkaz:
http://arxiv.org/abs/2409.08454
Full Vertex Operator Algebras (full VOA) are extensions of two commuting Vertex Operator Algebras, introduced to formulate compact two-dimensional conformal field theory. We define unitarity, polynomial energy bounds and polynomial spectral density f
Externí odkaz:
http://arxiv.org/abs/2407.18222
The minimization of the action of a QFT with a constraint dictated by the block averaging procedure is an important part of Ba{\l}aban's approach to renormalization. It is particularly interesting for QFTs with non-trivial target spaces, such as gaug
Externí odkaz:
http://arxiv.org/abs/2403.09800
The exponential decay of lattice Green functions is one of the main technical ingredients of the Ba{\l}aban's approach to renormalization. We give here a self-contained proof, whose various ingredients were scattered in the literature. The main sourc
Externí odkaz:
http://arxiv.org/abs/2303.10754
Autor:
Jäkel, Christian D., Tanimoto, Yoh
We describe a procedure to deform the dynamics of a two-dimensional conformal net to possibly obtain a Haag-Kastler net on the de Sitter spacetime. The new dynamics is given by adding a primary field smeared on the time-zero circle to the Lorentz gen
Externí odkaz:
http://arxiv.org/abs/2301.12468
Two-dimensional full conformal field theories have been studied in various mathematical frameworks, from algebraic, operator-algebraic to categorical. In this work, we focus our attention on theories with chiral components having pointed braided tens
Externí odkaz:
http://arxiv.org/abs/2301.12310
Publikováno v:
Commun. Math. Phys. 395, 299-330 (2022)
We prove an equivalence between the following notions: (i) unitary M\"obius vertex algebras, and (ii) Wightman conformal field theories on the circle (with finite-dimensional conformal weight spaces) satisfying an additional condition that we call un
Externí odkaz:
http://arxiv.org/abs/2203.10795
We consider the algebras generated by observables in quantum field theory localized in regions in the null plane. For a scalar free field theory, we show that the one-particle structure can be decomposed into a continuous direct integral of lightlike
Externí odkaz:
http://arxiv.org/abs/2107.00039
Publikováno v:
Commun. Math. Phys. 390, 169-192 (2022)
A family of quantum fields is said to be strongly local if it generates a local net of von Neumann algebras. There are few methods of showing directly strong locality of a quantum field. Among them, linear energy bounds are the most widely used, yet
Externí odkaz:
http://arxiv.org/abs/2103.16475
Publikováno v:
Commun. Math. Phys. 387, 299-360 (2021)
We present a rigorous renormalization group scheme for lattice quantum field theories in terms of operator algebras. The renormalization group is considered as an inductive system of scaling maps between lattice field algebras. We construct scaling m
Externí odkaz:
http://arxiv.org/abs/2010.11121