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pro vyhledávání: '"Leigh, Robert G."'
In arXiv:1609.03493, the authors extended the exact renormalization group (ERG) to arbitrary wave-functionals in quantum field theory (QFT). Applying this formalism, we show that the ERG flow of density matrices is given by a Lindblad master equation
Externí odkaz:
http://arxiv.org/abs/2410.16582
A common feature of the extended phase space of gauge theory, the crossed product of quantum theory, and quantum reference frames (QRFs) is the adjoining of degrees of freedom followed by a constraining procedure for the resulting total system. Build
Externí odkaz:
http://arxiv.org/abs/2410.11029
In this work, we demonstrate that quantizing gravity on a null hypersurface leads to the emergence of a CFT associated with each null ray. This result stems from the ultralocal nature of null physics and is derived through a canonical analysis of the
Externí odkaz:
http://arxiv.org/abs/2407.11132
All physical observations are made relative to a reference frame, which is a system in its own right. If the system of interest admits a group symmetry, the reference frame observing it must transform commensurately under the group to ensure the cova
Externí odkaz:
http://arxiv.org/abs/2405.13884
Autor:
Klinger, Marc S., Leigh, Robert G.
Recent work has highlighted the importance of crossed products in correctly elucidating the operator algebraic approach to quantum field theories. In the gravitational context, the crossed product simultaneously promotes von Neumann algebras associat
Externí odkaz:
http://arxiv.org/abs/2312.16678
We initiate a study of gravity focusing on generic null hypersurfaces, non-perturbatively in the Newton coupling. We present an off-shell account of the extended phase space of the theory, which includes the expected spin-2 data as well as spin-0, sp
Externí odkaz:
http://arxiv.org/abs/2309.03932
Autor:
Klinger, Marc S., Leigh, Robert G.
We identify a direct correspondence between the crossed product construction which plays a crucial role in the theory of Type III von Neumann algebras, and the extended phase space construction which restores the integrability of non-zero charges gen
Externí odkaz:
http://arxiv.org/abs/2306.09314
In this essay, we present a new understanding of the cosmological constant problem, built upon the realization that the vacuum energy density can be expressed in terms of a phase space volume. We introduce a UV-IR regularization which implies a relat
Externí odkaz:
http://arxiv.org/abs/2303.17495
In a recent paper, it was shown that in diffeomorphism-invariant theories, Noether charges associated with a given codimension-2 surface become integrable if one introduces an extended phase space. In this paper we extend the notion of extended phase
Externí odkaz:
http://arxiv.org/abs/2303.06786
Publikováno v:
Nucl. Phys. B 994 (2023) 116317
In this paper we demonstrate that the exterior algebra of an Atiyah Lie algebroid generalizes the familiar notions of the physicist's BRST complex. To reach this conclusion, we develop a general picture of Lie algebroid isomorphisms as commutative di
Externí odkaz:
http://arxiv.org/abs/2303.05540