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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

Geometry of the gauge algebra in noncommutative Yang-Mills Theory

- F. Lizzi, R. J. Szabo, A. Zampini
- 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

Distances on a lattice from non-commutative geometry

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

The fuzzy disc

- F. Lizzi, P. Vitale, A. Zampini
- 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

Translation invariance, commutation relations and ultraviolet/infrared mixing

- Salvatore Galluccio, F. Lizzi, P. Vitale
- Physics
- 21 July 2009

We show that the Ultraviolet/Infrared mixing of noncommutative field theories with the Gronewold-Moyal product, whereby some (but not all) ultraviolet divergences become infrared, is a generic… Expand

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

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

Infinitely many star products to play with

- J. Gracia-Bond́ıa, F. Lizzi, G. Marmo, P. Vitale
- 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

The Kirillov picture for the Wigner particle

- J. Gracia-Bond́ıa, F. Lizzi, J. C. V'arilly, P. Vitale
- Physics
- 27 November 2017

We discuss the Kirillov method for massless Wigner particles, usually (mis)named "continuous spin" or "infinite spin" particles. These appear in Wigner's classification of the unitary representations… Expand

Bosonic spectral action induced from anomaly cancellation

- A. Andrianov, F. Lizzi
- Physics
- 12 January 2010

We show how (a slight modification of) the noncommutative geometry bosonic spectral action can be obtained by the cancellation of the scale anomaly of the fermionic action. In this sense the standard… Expand

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