Rejzner Kasia, Schiavina Michele
Department of Mathematics, University of York, Heslington, York, YO10 5DD UK.
Institute for Theoretical Physics, ETH Zürich, Wolfgang-Pauli-Str. 27, 8093 Zurich, Switzerland.
Commun Math Phys. 2021;385(2):1083-1132. doi: 10.1007/s00220-021-04061-7. Epub 2021 Apr 5.
We show how to derive asymptotic charges for field theories on manifolds with "asymptotic" boundary, using the BV-BFV formalism. We also prove that the conservation of said charges follows naturally from the vanishing of the BFV boundary action, and show how this construction generalises Noether's procedure. Using the BV-BFV viewpoint, we resolve the controversy present in the literature, regarding the status of large gauge transformation as symmetries of the asymptotic structure. We show that even though the symplectic structure at the asymptotic boundary is not preserved under these transformations, the failure is governed by the corner data, in agreement with the BV-BFV philosophy. We analyse in detail the case of electrodynamics and the interacting scalar field, for which we present a new type of duality to a sourced two-form model.
我们展示了如何使用BV - BFV形式体系，为具有“渐近”边界的流形上的场论推导渐近荷。我们还证明了所述荷的守恒自然地源于BFV边界作用的消失，并展示了这种构造如何推广诺特定理的过程。从BV - BFV观点出发，我们解决了文献中关于大规范变换作为渐近结构对称性的地位的争议。我们表明，尽管在这些变换下渐近边界处的辛结构不被保留，但这种失效由角点数据决定，这与BV - BFV理念一致。我们详细分析了电动力学和相互作用标量场的情况，为此我们提出了一种与源二形式模型的新型对偶性。
