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20042020
most citedCovariance in models of loop quantum gravity: Spherical symmetry

109 citations

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11 papers · 1 filter

math-ph2018★ 12 cited

Complex Structures for Klein-Gordon Theory on Globally Hyperbolic Spacetimes

Albert Much, Robert Oeckl

We develop a rigorous method to parametrize complex structures for Klein-Gordon theory in globally hyperbolic spacetimes that satisfy a completeness condition. The complex structur…

math-ph2018★ 10 cited

Self-Adjointness in Klein-Gordon Theory on Globally Hyperbolic Spacetimes

Albert Much, Robert Oeckl

We prove essential self-adjointness of the spatial part of the linear Klein-Gordon operator with external potential for a large class of globally hyperbolic manifolds. The proof is…

math-ph2017★ 1 cited

Coherent states in fermionic Fock-Krein spaces and their amplitudes

Robert Oeckl

We generalize the fermionic coherent states to the case of Fock-Krein spaces, i.e., Fock spaces with an idefinite inner product of Krein type. This allows for their application in…

math-ph2017★ 2 cited

A Poincaré Covariant Noncommutative Spacetime?

Albert Much, José David Vergara

We interpret, in the realm of relativistic quantum field theory, the tangential operator given by Coleman, Mandula as an appropriate coordinate operator. The investigation shows th…

math-ph2017★ 2 cited

Homotopy classes of gauge fields and the lattice

Claudio Meneses, José A. Zapata

For a smooth manifold , possibly with boundary and corners, and a Lie group , we consider a suitable description of gauge fields in terms of parallel transport, as groupoid h…

math-ph2016★ 2 cited

Curving Flat Space-Time by Deformation Quantization?

Albert Much

We use a deformed differential structure to obtain a curved metric by a deformation quantization of the flat space-time. In particular, by setting the deformation parameters to be…

math-ph2014★ 2 cited

Coherent states in the fermionic Fock space

Robert Oeckl

We construct the coherent states in the sense of Gilmore and Perelomov for the fermionic Fock space. Our treatment is from the outset adapted to the infinite-dimensional case. The…

math-ph2013★ 5 cited

Multisymplectic effective General Boundary Field Theory

Mona Arjang, José A. Zapata

The transfer matrix in lattice field theory connects the covariant and the initial data frameworks; in spin foam models, it can be written as a composition of elementary cellular a…

math-ph2012★ 6 cited

Classical Klein-Gordon solutions, symplectic structures and isometry actions on AdS spacetimes

Max Dohse

We study classical, real Klein-Gordon theory on Lorentzian Anti de Sitter (AdS_{1,d}) spacetimes with spatial dimension d. We give a complete list of well defined and bounded Klein…

math-ph2011★ 18 cited

The Schrödinger representation and its relation to the holomorphic representation in linear and affine field theory

Robert Oeckl

We establish a precise isomorphism between the Schrödinger representation and the holomorphic representation in linear and affine field theory. In the linear case this isomorphism…

math-ph2004★ 9 cited

Large deviations for the Yang-Mills measure on a compact surface

Thierry Lévy, James R. Norris

We prove the first mathematical result relating the Yang-Mills measure on a compact surface and the Yang-Mills energy. We show that, at the small volume limit, the Yang-Mills measu…