Results 41 to 50 of about 414 (184)
Hamiltonian Renormalization V: Free Vector Bosons
Frontiers in Astronomy and Space Sciences, 2021 In a recent proposal we applied methods from constructive QFT to derive a Hamiltonian Renormalization Group in order to employ it ultimately for canonical quantum gravity.
K. Liegener, T. Thiemann
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Holonomy Groups Of Hypersurfaces [PDF]
Nagoya Mathematical Journal, 1956 The restricted homogeneous holonomy group of an n–dimensional Riemannian manifold is a connected closed subgroup of the proper orthogonal group SO(n) [1]. In this note we shall prove that the restricted homogeneous holonomy group of an n-dimensional compact hypersurface in the Euclidean space is actually the proper orthogonal group SO(n) itself.
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Universal Entanglement and an Information‐Complete Quantum Theory
Advanced Physics Research, Volume 5, Issue 4, April 2026.This Perspective summarize an informationcomplete quantum theory which describes a fully quantum world without any classical systems and concepts. Here spacetime/gravity, having to be a physical quantum system, universally entangles matter (matter fermions and their gauge fields) as an indivisible trinity, and encodes information‐complete physical ...
Zeng‐Bing Chen
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Journal of Geometry and Physics, 2023 We investigate lattice and continuous quantum gauge theories on the Euclidean plane with a structure group that is replaced by a $H$-algebra; non-commutative analogues of groups and contain the class of Voiculescu's dual groups. We are interested in non-commutative analogues of random gauge fields, which we describe through the random Holonomy that ...
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On the spectrum of holonomy algebras [PDF]
Journal of Geometry and Physics, 2002 The paper has been withdrawn by the ...
Abbati, Maria Cristina +1 more
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
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European Physical Journal C: Particles and Fields, 2020 Matter and quasi-matter bounce scenarios are studied for an F(R) gravity model with holonomy corrections and a Lagrange multiplier, with a scale factor $$a(t) = \left( a_0t^2 + 1 \right) ^n$$ a(t)=a0t2+1n , where the Hubble parameter squared has a linear
Emilio Elizalde +2 more
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Quasi‐Fuchsian flows and the coupled vortex equations
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We provide an alternative construction of the quasi‐Fuchsian flows introduced by Ghys. Our approach is based on the coupled vortex equations that allows to see these flows as thermostats on the unit tangent bundle of the Blaschke metric, uniquely determined by a conformal class and a holomorphic quadratic differential.
Mihajlo Cekić, Gabriel P. Paternain
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W-symmetries, anomalies and heterotic backgrounds with non-compact holonomy
Nuclear Physics BWe determine the algebra of holonomy symmetries of sigma models propagating on supersymmetric heterotic backgrounds with a non-compact holonomy group. We demonstrate that these close as a W-algebra, which in turn is specified by a Lie algebra structure ...
G. Papadopoulos, J. Phillips
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Connections with exotic holonomy [PDF]
Transactions of the American Mathematical Society, 1994 Berger [Ber] partially classified the possible irreducible holonomy representations of torsion free connections on the tangent bundle of a manifold. However, it was shown by Bryant [Bry] that Berger’s list is incomplete. Connections whose holonomy is not contained on Berger’s list are called exotic
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