NCD OF QFT · Non-commutative deformations of quantum field theory
7РП — „Хора“ (Действия „Мария Кюри“)
- Период
- 2011-12-01 → 2015-11-30
- Финансиране от ЕС
- 100 000 €
- Участници
- 1
- Схема
- MC-CIG
Линиите свързват координатора с партньорите.
Накратко на български
Деформациите на квантовата теория на полето изследват модели, при които пространството и времето се държат различно, например чрез изкривено импулсно пространство. Това помага за разбирането на квантовата гравитация и еволюцията на черните дупки.
Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.
Резултати накратко
Non-commutative deformations of quantum field theory
The project fully reached its goal of establishing models of deformed symmetries and curved momentum space as a promising area of research at the interface of quantum theory and gravity. The main focus was on those theories in which space-time coordinates form a Lie algebra, since similar structures are encountered in the description of "topologically" gravitating particles in three space-time dimensions. The main technical challenges in that context but also the main opportunities for significant discoveries reside in their group-valued plane waves and their relativistic symmetries 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. Among the outcomes of the project of particular significance are the ones concerning the conceptual connections of scenarios with curved momentum space and deformed relativistic symmetries with models exhibiting dimensional reduction at superPlanckian energy scales. Of comparable significance was the realization that the framework of deformed relativistic symmetries, at the quantum level, can account for a deformed evolution of density matrices which, in principle, allows the evolution of pure states into mixed states, opening a new window on the theoretical study of fundamental departures from unitary quantum evolution, with high potential of impact for the phenomenological searches for quantum gravity effects and for our understanding of the quantum evolution of black holes. Arzano also performed very well in supervising thesis students, as shown perhaps most notably by the results obtained by Arzano in collaboration with two of his Sapienza-University thesis students (the students D. Latini and M. Lotito) establishing fully a link between topological defects and relativistic-symmetry deformation in the context of three dimensional gravity. The significance of the scientific results is testified not only by prestigious publications and citations, but also by a second-place prize awarded by the Gravity Research Foundation for 2015. Moreover, an essay by Arzano was awarded the fourth-place prize in the essay contest "Questioning the foundations" hosted by the Foundational Questions Institute. The integration of Arzano was also rather successful, particularly in light of the fact that he obtained the habilitation for associate professorship in theoretical physics by the Italian Ministry of Education. He will continue to be employed by Sapienza University for at least two years after the end of the project.
Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз
Цел на проекта
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.
Оригинален текст от CORDIS (на английски).
Участници
- UNIVERSITA DEGLI STUDI DI ROMA LA SAPIENZA · RomaКоординаторИталия
Връзки
Данни: CORDIS, © Европейски съюз