Explore the words cloud of the BVCGA project. It provides you a very rough idea of what is the project "BVCGA" about.
The following table provides information about the project.
|Coordinator Country||Denmark [DK]|
|Total cost||200˙194 €|
|EC max contribution||200˙194 € (100%)|
1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
|Duration (year-month-day)||from 2017-05-01 to 2019-10-28|
Take a look of project's partnership.
|1||AARHUS UNIVERSITET||DK (AARHUS C)||coordinator||200˙194.00|
The BRST (Becchi-Rouet-Stora-Tyutin) cohomology plays a very important role in facing the problem of quantizing non-abelian gauge theories via the path integral approach. Indeed, this quantization procedure fails when applied to gauge theories, due to the presence of local symmetries in the action. This problem is overcome by introducing extra (non-physical) fields, defining a so-called BRST cohomology complex. It is precisely this cohomology that allows the recovery of important information on the theory, such as its set of observables or its renormalizability. Despite of its relevance in the context of quantum fields theory, this cohomology still deserves to be fully understood from a mathematical/geometrical point of view. As I discovered in my PhD thesis, a very promising approach to reach this goal is to try to insert the BRST cohomology (constructed following the Batalin-Vilkovisky (BV) approach) in the framework given by Noncommutative Geometry (NCG). In this project I will continue along this line of research by focusing on the case of finite-dimensional gauge theories. Indeed, this context has shown to be surprisingly rich for the analysis of the BV formalism, due to the emergence of a peculiar phenomenon, not appearing in the infinite-dimensional case: the infinite ghosts-for-ghosts. Even though since the discovery of NCG it is known its strong connection with gauge theories, the idea of using NCG as a mathematical framework to formalize the BV construction and the BRST cohomology is still an unexplored territory. The credibility of this approach has been proved by some preliminary results I obtained for U(2)-gauge theories. Moreover, since NCG gives a common tool (the notion of spectral triple) to study both finite and infinite-dimensional gauge theories, the results obtained with this project will be a fundamental starting point for further research: they will point the way to investigate the BV construction also for gauge theories on a 4-dim spacetime.
Are you the coordinator (or a participant) of this project? Plaese send me more information about the "BVCGA" project.
For instance: the website url (it has not provided by EU-opendata yet), the logo, a more detailed description of the project (in plain text as a rtf file or a word file), some pictures (as picture files, not embedded into any word file), twitter account, linkedin page, etc.
Send me an email (email@example.com) and I put them in your project's page as son as possible.
Thanks. And then put a link of this page into your project's website.
The information about "BVCGA" are provided by the European Opendata Portal: CORDIS opendata.
Narrative, Writing, and the Teotihuacan Language: Exploring Language History Through Phylogenetics, Epigraphy and IconographyRead More
Charles IV and the power of marvellous objectsRead More
Multi-color and single-molecule fluorescence imaging of intraflagellar transport in the phasmid chemosensory cilia of C. ElegansRead More