All Outputs (60)

Locally Covariant Quantum Field Theory with External Sources (2014)
Journal Article
Fewster, C. J., & Schenkel, A. (2015). Locally Covariant Quantum Field Theory with External Sources. Annales Henri Poincaré, 16(10), 2303-2365. https://doi.org/10.1007/s00023-014-0372-y

© 2014, Springer Basel. We provide a detailed analysis of the classical and quantized theory of a multiplet of inhomogeneous Klein–Gordon fields, which couple to the spacetime metric and also to an external source term; thus the solutions form an aff... Read More about Locally Covariant Quantum Field Theory with External Sources.

A C ? -algebra for quantized principal U(1)-connections on globally hyperbolic lorentzian manifolds (2014)
Journal Article
Benini, M., Dappiaggi, C., Hack, T. P., & Schenkel, A. (2014). A C ? -algebra for quantized principal U(1)-connections on globally hyperbolic lorentzian manifolds. Communications in Mathematical Physics, 332(1), 477-504. https://doi.org/10.1007/s00220-014-2100-3

© Springer-Verlag Berlin Heidelberg 2014. The aim of this work is to complete our program on the quantization of connections on arbitrary principal U(1)-bundles over globally hyperbolic Lorentzian manifolds. In particular, we show that one can assig... Read More about A C ? -algebra for quantized principal U(1)-connections on globally hyperbolic lorentzian manifolds.

Quantized Abelian principal connections on Lorentzian manifolds (2014)
Journal Article
Benini, M., Dappiaggi, C., & Schenkel, A. (2014). Quantized Abelian principal connections on Lorentzian manifolds. Communications in Mathematical Physics, 330(1), 123–152. https://doi.org/10.1007/s00220-014-1917-0

We construct a covariant functor from a category of Abelian principal bundles over globally hyperbolic spacetimes to a category of *-algebras that describes quantized principal connections. We work within an appropriate differential geometric setting... Read More about Quantized Abelian principal connections on Lorentzian manifolds.

Dirac Operators on Noncommutative Curved Spacetimes (2013)
Journal Article
Schenkel, A., & F. Uhlemann, C. (2013). Dirac Operators on Noncommutative Curved Spacetimes. Symmetry, Integrability and Geometry: Methods and Applications, 9, https://doi.org/10.3842/SIGMA.2013.080

We study the notion of a Dirac operator in the framework of twist-deformed noncommutative geometry. We provide a number of well-motivated candidate constructions and propose a minimal set of axioms that a noncommutative Dirac operator should satisfy.... Read More about Dirac Operators on Noncommutative Curved Spacetimes.

Module parallel transports in fuzzy gauge theory (2013)
Journal Article
Schenkel, A. (2014). Module parallel transports in fuzzy gauge theory. International Journal of Geometric Methods in Modern Physics, 11(03), Article 1450021. https://doi.org/10.1142/S0219887814500212

In this paper, we define and investigate a notion of parallel transport on finite projective modules over finite matrix algebras. Given a derivation-based differential calculus on the algebra and a connection on the module, we construct for every der... Read More about Module parallel transports in fuzzy gauge theory.

Linear bosonic and fermionic quantum gauge theories on curved spacetimes (2013)
Journal Article
Hack, T., & Schenkel, A. (2013). Linear bosonic and fermionic quantum gauge theories on curved spacetimes. General Relativity and Gravitation, 45(5), 877-910. https://doi.org/10.1007/s10714-013-1508-y

We develop a general setting for the quantization of linear bosonic and fermionic field theories subject to local gauge invariance and show how standard examples such as linearized Yang-Mills theory and linearized general relativity fit into this fra... Read More about Linear bosonic and fermionic quantum gauge theories on curved spacetimes.

Quantum Field Theory on Affine Bundles (2013)
Journal Article
Benini, M., Dappiaggi, C., & Schenkel, A. (2014). Quantum Field Theory on Affine Bundles. Annales Henri Poincaré, 15(1), 171-211. https://doi.org/10.1007/s00023-013-0234-z

We develop a general framework for the quantization of bosonic and fermionic field theories on affine bundles over arbitrary globally hyperbolic spacetimes. All concepts and results are formulated using the language of category theory, which allows u... Read More about Quantum Field Theory on Affine Bundles.

Twist deformations of module homomorphisms and connections (2012)
Journal Article
Schenkel, A. (2012). Twist deformations of module homomorphisms and connections. Proceedings of Science, 155, https://doi.org/10.22323/1.155.0056

Let H be a Hopf algebra, A a left H-module algebra and V a left H-module A-bimodule. We study the behavior of the right A-linear endomorphisms of V under twist deformation. We in particular construct a bijective quantization map to the right A_\star-... Read More about Twist deformations of module homomorphisms and connections.

Quantization of the massive gravitino on FRW spacetimes (2012)
Journal Article
Schenkel, A., & F. Uhlemann, C. (2012). Quantization of the massive gravitino on FRW spacetimes. Physical Review D - Particles, Fields, Gravitation and Cosmology, 85(2), https://doi.org/10.1103/PhysRevD.85.024011

In this article we study the quantization and causal properties of a massive spin 3/2 Rarita-Schwinger field on spatially flat Friedmann-Robertson-Walker (FRW) spacetimes. We construct Zuckerman's universal conserved current and prove that it leads t... Read More about Quantization of the massive gravitino on FRW spacetimes.

Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes (2011)
Thesis
Schenkel, A. Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes. (Thesis). Retrieved from https://nottingham-repository.worktribe.com/output/2460579

The focus of this PhD thesis is on applications, new developments and extensions of the noncommutative gravity theory proposed by Julius Wess and his group. In part one we propose an extension of the usual symmetry reduction procedure to noncommut... Read More about Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes.

QFT on homothetic Killing twist deformed curved spacetimes (2011)
Journal Article
Schenkel, A. (2011). QFT on homothetic Killing twist deformed curved spacetimes. General Relativity and Gravitation, 43, 2605–2630. https://doi.org/10.1007/s10714-011-1184-8

We study the quantum field theory (QFT) of a free, real, massless and curvature coupled scalar field on self-similar symmetric spacetimes, which are deformed by an abelian Drinfel'd twist constructed from a Killing and a homothetic Killing vector fie... Read More about QFT on homothetic Killing twist deformed curved spacetimes.

Quantum Field Theory on Curved Noncommutative Spacetimes (2011)
Journal Article
Schenkel, A. (2011). Quantum Field Theory on Curved Noncommutative Spacetimes. Proceedings of Science, 127, https://doi.org/10.22323/1.127.0029

We summarize our recently proposed approach to quantum field theory on noncommutative curved spacetimes. We make use of the Drinfel'd twist deformed differential geometry of Julius Wess and his group in order to define an action functional for a real... Read More about Quantum Field Theory on Curved Noncommutative Spacetimes.

High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing (2010)
Journal Article
Schenkel, A., & F. Uhlemann, C. (2010). High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing. Physics Letters B, 694(3), 258-260. https://doi.org/10.1016/j.physletb.2010.09.066

We consider an interacting scalar quantum field theory on noncommutative Euclidean space. We implement a family of noncommutative deformations, which -- in contrast to the well known Moyal-Weyl deformation -- lead to a theory with modified kinetic te... Read More about High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing.

Field Theory on Curved Noncommutative Spacetimes (2010)
Journal Article
Schenkel, A., & F. Uhlemann, C. (2010). Field Theory on Curved Noncommutative Spacetimes. Symmetry, Integrability and Geometry: Methods and Applications, 6, Article 061. https://doi.org/10.3842/SIGMA.2010.061

We study classical scalar field theories on noncommutative curved spacetimes. Following the approach of Wess et al. [Classical Quantum Gravity 22 (2005), 3511 and Classical Quantum Gravity 23 (2006), 1883], we describe noncommutative spacetimes by us... Read More about Field Theory on Curved Noncommutative Spacetimes.

Spacetime Noncommutativity in Models with Warped Extradimensions (2010)
Journal Article
Ohl, T., Schenkel, A., & F. Uhlemann, C. (2010). Spacetime Noncommutativity in Models with Warped Extradimensions. Journal of High Energy Physics, Article 29. https://doi.org/10.1007/JHEP07%282010%29029

We construct consistent noncommutative (NC) deformations of the Randall-Sundrum spacetime that solve the NC Einstein equations with a non-trivial Poisson tensor depending on the fifth coordinate. In a class of these deformations where the Poisson ten... Read More about Spacetime Noncommutativity in Models with Warped Extradimensions.

Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes (2010)
Journal Article
Ohl, T., & Schenkel, A. (2010). Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes. General Relativity and Gravitation, 42(12), 2785–2798. https://doi.org/10.1007/s10714-010-1016-2

In this article we study the quantization of a free real scalar field on a class of noncommutative manifolds, obtained via formal deformation quantization using triangular Drinfel'd twists. We construct deformed quadratic action functionals and compu... Read More about Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes.

Preferred foliation effects in Quantum General Relativity (2010)
Journal Article
Koslowski, T., & Schenkel, A. (2010). Preferred foliation effects in Quantum General Relativity. Classical and Quantum Gravity, 27(13), Article 135014. https://doi.org/10.1088/0264-9381/27/13/135014

We investigate the infrared (IR) effects of Lorentz violating terms in the gravitational sector using functional renormalization group methods similar to Reuter and collaborators. The model we consider consists of pure quantum gravity coupled to a pr... Read More about Preferred foliation effects in Quantum General Relativity.

Cosmological and Black Hole Spacetimes in Twisted Noncommutative Gravity (2009)
Journal Article
Ohl, T., & Schenkel, A. (2009). Cosmological and Black Hole Spacetimes in Twisted Noncommutative Gravity. Journal of High Energy Physics, 2009, https://doi.org/10.1088/1126-6708/2009/10/052

We derive noncommutative Einstein equations for abelian twists and their solutions in consistently symmetry reduced sectors, corresponding to twisted FRW cosmology and Schwarzschild black holes. While some of these solutions must be rejected as model... Read More about Cosmological and Black Hole Spacetimes in Twisted Noncommutative Gravity.

Symmetry Reduction and Exact Solutions in Twisted Noncommutative Gravity (2009)
Journal Article
Schenkel, A. (2009). Symmetry Reduction and Exact Solutions in Twisted Noncommutative Gravity. Acta Physica Polonica B Proceedings Supplement, 2(3), 657-667

We review the noncommutative gravity of Wess et al. and discuss its physical applications. We define noncommutative symmetry reduction and construct deformed symmetric solutions of the noncommutative Einstein equations. We apply our framework to find... Read More about Symmetry Reduction and Exact Solutions in Twisted Noncommutative Gravity.

Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes (2009)
Journal Article
Ohl, T., & Schenkel, A. (2009). Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes. Journal of High Energy Physics, 2009, Article JHEP01(2009)084. https://doi.org/10.1088/1126-6708/2009/01/084

As a preparation for a mathematically consistent study of the physics of symmetric spacetimes in a noncommutative setting, we study symmetry reductions in deformed gravity. We focus on deformations that are given by a twist of a Lie algebra acting on... Read More about Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes.