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Content archived on 2024-06-18

Non-commutative deformations of quantum field theory

Objective

Non-commutative quantum field theories and their associated deformed symmetries provide intriguing examples of models beyond the realm of standard local quantum field theory. Of particular interest are those theories in which space-time coordinates form a Lie algebra since the same structure is encountered in the quantization of gravitating particles in three dimensions. Associated to this type of non-commutativity are group-valued plane waves and a curved momentum space. Relativistic symmetries are deformed in the sense that the action of generators of Lorentz transformations on momentum space is non-linear and non-symmetric on products of plane waves. The candidate's research to date has mainly revolved around the only known four dimensional example of non-commutative field theory with a momentum group manifold, fields on kappa-Minkowski space, and to explore the consequences that the associated deformed symmetries, the kappa-Poincare' algebra, might have phenomenologically and for black hole quantum radiance.

The future research, besides continuing along the agenda dictated by the applicant's current achievements, will explore the neighboring fields of lower dimensional (quantum) gravity, semi-classical gravity and other field theoretic models beyond local QFT. Building on the recent results on deformed two-point functions, the research will explore the consequences of the new structures for inflationary cosmology and black hole radiance. Part of the project will focus on the possible applications of the tools gathered over the years of study of field theories with curved momentum space to field theoretic models with similar features like group field theories and theories over fractal space times. Finally, on the longer term, the research will focus on the study of the role of deformation for asymptotic symmetries of three dimensional gravity and to explore the consequences of non-commutative structures in gauge formulations of gravity.

Fields of science (EuroSciVoc)

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Topic(s)

Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.

Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

FP7-PEOPLE-2011-CIG
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Funding Scheme

Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

MC-CIG - Support for training and career development of researcher (CIG)

Coordinator

UNIVERSITA DEGLI STUDI DI ROMA LA SAPIENZA
EU contribution
€ 100 000,00
Address
Piazzale Aldo Moro 5
00185 Roma
Italy

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Region
Centro (IT) Lazio Roma
Activity type
Higher or Secondary Education Establishments
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

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