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Zawartość zarchiwizowana w dniu 2022-12-23

Non-perturbative effects and instantons: the construction of new localised instantons in gauge and sigma field theories and their application to Baryon number violation, high energy scattering and confinement

Cel



This project establishes a network to study non-perturbative effects in several quantum field theoretic models. These include the usual Gauge-Higgs model in four dimensions, and the Sigma model and other (toy) models in lower dimensions. In addition, special emphasis will be given to extended versions of these models, which are augmented with Skyrme-like terms.

The special feature of these Skyrme-extended models is the exponential localisation of their instantons, whose role in the evaluation of the path integral of these theories is a central one. The lack of such localisation has presented major problems hitherto in this area.

The overall project has two main subdivisions: first, the search for classical solutions which dominate the path integral, namely the instantons of the new Skyrme-extended models. Apart from these finite action and topologically stable solutions, there are other interesting solutions which are relevant to the semiclassical method, namely the unstable bounces and sphalerons as well as the singular meron-like solutions to the models in question. A related problem is the quantisation of the systems in the so-called soliton background of finite energy topologically stable static lumps in these models. Special emphasis will be given to this method in the case of the usual Skyrme model in addition to the Skyrme-extended models mentioned.

The second subdivision consists of the use of these localised instantons and lumps to study non-perturbative phenomena in the semiclassical approximation. The most prominent applications are to problems of baryon number violation in electroweak theory, multiparticle scattering at high energy, and confinement and other phenomena in chromodynamics.

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System finansowania

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Koordynator

St. Patrick's College
Wkład UE
Brak danych
Adres

Maynooth
Irlandia

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Koszt całkowity
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Uczestnicy (5)