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Publications Influence

Fermion Hilbert space and fermion doubling in the noncommutative geometry approach to gauge theories

- F. Lizzi, G. Mangano, G. Miele, G. Sparano
- Physics
- 7 October 1996

In this paper we study the structure of the Hilbert space for the recent noncommutative geometry models of gauge theories. We point out the presence of unphysical degrees of freedom similar to the… Expand

92 6- PDF

The fuzzy disc

- F. Lizzi, P. Vitale, A. Zampini
- Physics, Mathematics
- 25 June 2003

We introduce a finite dimensional matrix model approximation to the algebra of functions on a disc based on noncommutative geometry. The algebra is a subalgebra of the one characterizing the… Expand

52 5- PDF

Distances on a lattice from non-commutative geometry

- G. Bimonte, F. Lizzi, G. Sparano
- Physics
- 29 December 1994

Abstract Using the tools of non-commutative geometry we calculate the distances between the points of a lattice on which the usual discretized Dirac operator has been defined. We find that these… Expand

26 4

Infinitely many star products to play with

- J. Gracia-Bond'ia, F. Lizzi, G. Marmo, P. Vitale
- Physics, Mathematics
- 11 December 2001

While there has been growing interest for noncommutative spaces in recent times, most examples have been based on the simplest noncommutative algebra: [x i ,x j ] = iθ ij . Here we present new… Expand

115 4- PDF

Geometry of the gauge algebra in noncommutative Yang-Mills Theory

- F. Lizzi, R. Szabó, A. Zampini
- Physics, Mathematics
- 13 July 2001

A detailed description of the infinite-dimensional Lie algebra of -gauge transformations in non-commutative Yang-Mills theory is presented. Various descriptions of this algebra are given in terms of… Expand

48 4- PDF

Dibaryons as chiral solitons

- A. Balachandran, F. Lizzi, V. Rodgers, A. Stern
- Physics
- 1985

Abstract In the chiral model with three or more flavours, there are topological excitations which can be interpreted as dibaryon states. They correspond to the six-quark states found by Jaffe in the… Expand

89 2

Duality Symmetries and Noncommutative Geometry of String Spacetimes

Abstract:We examine the structure of spacetime symmetries of toroidally compactified string theory within the framework of noncommutative geometry. Following a proposal of Fröhlich and Gawędzki, we… Expand

29 2- PDF

Spectral geometry with a cut-off: topological and metric aspects

- F. D’andrea, F. Lizzi, P. Martinetti
- Mathematics, Physics
- 12 May 2013

Abstract Inspired by regularization in quantum field theory, we study topological and metric properties of spaces in which a cut-off is introduced. We work in the framework of noncommutative… Expand

22 2- PDF

Cosmological perturbations and short distance physics from Noncommutative Geometry

- F. Lizzi, G. Mangano, G. Miele, M. Peloso
- Physics
- 11 March 2002

We investigate the possible effects on the evolution of perturbations in the inflationary epoch due to short distance physics. We introduce a suitable non local action for the inflaton field,… Expand

128 2- PDF

Twisting all the way: From classical mechanics to quantum fields

- P. Aschieri, F. Lizzi, P. Vitale
- Physics, Mathematics
- 22 August 2007

We discuss the effects that a noncommutative geometry induced by a Drinfeld twist has on physical theories. We systematically deform all products and symmetries of the theory. We discuss… Expand

84 2- PDF