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Spinors and Voros star-product for Group Field Theory: First Contact
Spinors Voros star-product Group Field Theory General Relativity and Quantum Cosmology
2011/10/10
Abstract: In the context of non-commutative geometries, we develop a group Fourier transform for the Lie group SU(2). Our method is based on the Schwinger representation of the Lie algebra su(2) in te...
Anti de Sitter quantum field theory and a new class of hypergeometric identities
hypergeometric identities High Energy Physics - Theory Anti de Sitter quantum field theory
2011/10/9
Abstract: We use Anti-de Sitter quantum field theory to prove a new class of identities between hypergeometric functions related to the K\"all\'en-Lehmann representation of products of two Anti-de Sit...
Geometry and field theory in multi-fractional spacetime
Models of Quantum Gravity Field Theories in Lower Dimensions Fractal Geometry
2011/10/9
Abstract: We construct a theory of fields living on continuous geometries with fractional Hausdorff and spectral dimensions, focussing on a flat background analogous to Minkowski spacetime. After revi...
Constructing a quantum field theory from spacetime
quantum field theory spacetime High Energy Physics - Theory
2011/10/8
Abstract: The paper shows deep connections between exotic smoothings of a small R^4 (the spacetime), the leaf space of codimension-1 foliations (related to noncommutative algebras) and quantization. A...
Classical Group Field Theory
Group field theory classical study High Energy Physics - Theory
2011/10/8
Abstract: The ordinary formalism for classical field theory is applied to dynamical group field theories. Focusing first on a local group field theory over one copy of SU(2) and, then, on more involve...
Relating the Archetypes of Logarithmic Conformal Field Theory
Logarithmic Conformal Field Theory High Energy Physics - Theory
2011/9/30
Abstract: Logarithmic conformal field theory is a rich and vibrant area of modern mathematical physics with well-known applications to both condensed matter theory and string theory. Our limited under...
Local BRST cohomology in (non-)Lagrangian field theory
Local BRST cohomology (non-)Lagrangian field theory Quantum Algebra
2011/7/29
Abstract: Some general theorems are established on the local BRST cohomology for not necessarily Lagrangian gauge theories. Particular attention is given to the BRST groups with direct physical interp...
Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
Non-Abelian Vortices Supersymmetric Gauge Field Theory High Energy Physics - Theory
2011/7/27
Abstract: Vortices in supersymmetric gauge field theory are important constructs in a basic conceptual phenomenon commonly referred to as the dual Meissner effect which is responsible for color confin...
Quantum Dirac Field on Moyal-Minkowski Spacetime - Illustrating Quantum Field Theory over Lorentzian Spectral Geometry
Quantum Dirac Field Illustrating Quantum Field Theory Lorentzian Spectral Geometry
2011/7/25
Abstract: A sketch of an approach towards Lorentzian spectral geometry (based on joint work with Mario Paschke) is described, together with a general way to define abstractly the quantized Dirac field...
Nucleon Finite Volume Effect and Nuclear Matter Properties in a Relativistic Mean-Field Theory
nuclear matter relativistic models nuclear matter aspects of neutron stars
2007/8/15
2006Vol.46No.6pp.1052-1058DOI:
Nucleon Finite Volume Effect and Nuclear Matter Properties in a Relativistic Mean-Field Theory
R. Costa,1 A.J. Santiago,1 H. Rodrigues,2 and J. Sa ...