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Quantum field theory on noncommutative spaces

- R. J. Szabo
- Physics, Mathematics
- 20 September 2001

Abstract A pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity.… Expand

Symmetry, gravity and noncommutativity

- R. J. Szabo
- Physics
- 23 June 2006

We review some aspects of the implementation of spacetime symmetries in noncommutative field theories, emphasizing their origin in string theory and how they may be used to construct theories of… Expand

Membrane sigma-models and quantization of non-geometric flux backgrounds

- D. Mylonas, P. Schupp, R. J. Szabo
- Physics, Mathematics
- 4 July 2012

A bstractWe develop quantization techniques for describing the nonassociative geometry probed by closed strings in flat non-geometric R-flux backgrounds M . Starting from a suitable Courant… Expand

Duality in scalar field theory on noncommutative phase spaces

- E. Langmann, R. J. Szabo
- Physics, Mathematics
- 6 February 2002

Abstract We describe a novel duality symmetry of Φ 2 n 4 -theory defined on noncommutative Euclidean space and with noncommuting momentum coordinates. This duality acts on the fields by Fourier… Expand

Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces

- E. Langmann, R. J. Szabo, K. Zarembo
- Physics
- 6 August 2003

We present the exact solution of a scalar field theory defined with noncommuting position and momentum variables. The model describes charged particles in a uniform magnetic field and with an inter… Expand

An introduction to string theory and D-brane dynamics

- R. J. Szabo
- Physics
- 1 April 2004

Historical Overview of String Theory Classical String Theory Quantization of the Bosonic String Superstrings Ramond-Ramond Charges and T-Duality D-Branes and Gauge Theory D-Brane Dynamics… Expand

Constructing D-branes from K theory

- Kasper W. Olsen, R. J. Szabo
- Physics, Mathematics
- 16 July 1999

A detailed review of recent developments in the topological classification of D-branes in superstring theory is presented. Beginning with a thorough, self-contained introduction to the techniques and… Expand

Topological gravity and transgression holography

- P. Salgado, R. J. Szabo, O. Valdivia
- Physics, Mathematics
- 15 January 2014

We show that Poincare-invariant topological gravity in even dimensions can be formulated as a transgression field theory in one higher dimension whose gauge connections are associated to linear and… Expand

Lattice gauge fields and discrete noncommutative Yang-Mills theory

- J. Ambjorn, Y. Makeenko, J. Nishimura, R. J. Szabo
- Physics, Mathematics
- 21 April 2000

We present a lattice formulation of non-commutative Yang-Mills theory in arbitrary even dimensionality. The UV/IR mixing characteristic of non-commutative field theories is demonstrated at a… Expand

Quantized Nambu–Poisson manifolds and n-Lie algebras

- Joshua DeBellis, Christian Saemann, R. J. Szabo
- Mathematics, Physics
- 19 January 2010

We investigate the geometric interpretation of quantized Nambu–Poisson structures in terms of noncommutative geometries. We describe an extension of the usual axioms of quantization in which… Expand

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