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pro vyhledávání: '"Hawkins, Eli"'
Perturbative Algebraic Quantum Field Theory (pAQFT) is based upon formal power series valued in spaces of functionals. This is usually done with microcausal functionals, which are defined using microlocal analysis and motivated by propagation of sing
Externí odkaz:
http://arxiv.org/abs/2312.15203
Geometric quantization is a natural way to construct quantum models starting from classical data. In this work, we start from a symplectic vector space with an inner product and -- using techniques of geometric quantization -- construct the quantum a
Externí odkaz:
http://arxiv.org/abs/2207.05667
Publikováno v:
Phys. Rev. D 103, 086020 (2021)
We describe numerical and analytical investigations of causal sets sprinkled into spacetime manifolds. The first part of the paper is a numerical study of finite causal sets sprinkled into Alexandrov subsets of Minkowski spacetime of dimensions $1 +
Externí odkaz:
http://arxiv.org/abs/2011.02965
Autor:
Hawkins, Eli
Publikováno v:
Adv. Math.428(2023), Paper No. 109156
A diagram of algebras is a functor valued in a category of associative algebras. I construct an operad acting on the Hochschild bicomplex of a diagram of algebras. Using this operad, I give a direct proof that the Hochschild cohomology of a diagram o
Externí odkaz:
http://arxiv.org/abs/2002.00886
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We define a switch function to be a function from an interval to $\{1,-1\}$ with a finite number of sign changes. (Special cases are the Walsh functions.) By a topological argument, we prove that, given $n$ real-valued functions, $f_1, \dots, f_n$, i
Externí odkaz:
http://arxiv.org/abs/1710.06916
Autor:
Hawkins, Eli, Rejzner, Kasia
We propose a new formula for the star product in deformation quantization of Poisson structures related in a specific way to a variational problem for a function $S$, interpreted as the action functional. Our approach is motivated by perturbative Alg
Externí odkaz:
http://arxiv.org/abs/1612.09157
Autor:
Hawkins, Eli
Algebraic quantum field theory is considered from the perspective of the Hochschild cohomology bicomplex. This is a framework for studying deformations and symmetries. Deformation is a possible approach to the fundamental challenge of constructing in
Externí odkaz:
http://arxiv.org/abs/1612.05161
Autor:
Hawkins, Eli
This paper is about the role of Planck's constant, $\hbar$, in the geometric quantization of Poisson manifolds using symplectic groupoids. In order to construct a strict deformation quantization of a given Poisson manifold, one can use all possible r
Externí odkaz:
http://arxiv.org/abs/1309.1068