Resource data
Renormalisation and the Batalin-Vilkovisky formalism
Costello, Kevin J.
Location:
http://arxiv.org/abs/0706.1533
This paper gives a way to renormalise certain quantum field theories on
compact manifolds. Examples include Yang-Mills theory (in dimension 4 only),
Chern-Simons theory and holomorphic Chern-Simons theory. The method is within
the framework of the Batalin-Vilkovisky formalism. Chern-Simons theory is
renormalised in a way respecting all symmetries (up to homotopy). This yields
an invariant of smooth manifolds: a certain algebraic structure on the
cohomology of the manifold tensored with a Lie algebra, which is a "higher
loop" enrichment of the natural Lie-infinity structure.
Belongs to: arXiv
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Detalles del recurso
|
Renormalisation and the Batalin-Vilkovisky formalism
|
| Id. |
25665224 |
| Titulo |
Renormalisation and the Batalin-Vilkovisky formalism |
| Autor(es) |
Costello, Kevin J. |
| Location |
http://arxiv.org/abs/0706.1533
|
| Versión |
1.0 |
| Estado |
Final
|
| Descripción |
This paper gives a way to renormalise certain quantum field theories on
compact manifolds. Examples include Yang-Mills theory (in dimension 4 only),
Chern-Simons theory and holomorphic Chern-Simons theory. The method is within
the framework of the Batalin-Vilkovisky formalism. Chern-Simons theory is
renormalised in a way respecting all symmetries (up to homotopy). This yields
an invariant of smooth manifolds: a certain algebraic structure on the
cohomology of the manifold tensored with a Lie algebra, which is a "higher
loop" enrichment of the natural Lie-infinity structure. |
| Palabras clave |
Mathematics - Quantum Algebra |
| Tipo de recurso |
Texto Narrativo
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| Tipo de Interactividad |
Expositivo
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| Nivel de Interactividad |
muy bajo
|
| Audiencia |
Estudiante
Profesor
Autor
|
| Estructura |
Atomic |
| Coste |
no
|
| Copyright |
sí
|
| Requerimientos técnicos |
Browser: Any |
| Fecha de contribución |
26-jun-2007 |
| Contacto |
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