TY - JOUR

T1 - Relative Cauchy evolution for linear homotopy AQFTs

AU - Bruinsma, Simen Hylke

AU - Fewster, Chris

AU - Schenkel, Alexander

N1 - © The Author(s) 2022

PY - 2022/6

Y1 - 2022/6

N2 - This paper develops a concept of relative Cauchy evolution for the class of homotopy algebraic quantum field theories (AQFTs) that are obtained by canonical commutation relation quantization of Poisson chain complexes. The key element of the construction is a rectification theorem proving that the homotopy time-slice axiom, which is a higher categorical relaxation of the time-slice axiom of AQFT, can be strictified for theories in this class. The general concept is illustrated through a detailed study of the relative Cauchy evolution for the homotopy AQFT associated with linear Yang-Mills theory, for which the usual stress-energy tensor is recovered.

AB - This paper develops a concept of relative Cauchy evolution for the class of homotopy algebraic quantum field theories (AQFTs) that are obtained by canonical commutation relation quantization of Poisson chain complexes. The key element of the construction is a rectification theorem proving that the homotopy time-slice axiom, which is a higher categorical relaxation of the time-slice axiom of AQFT, can be strictified for theories in this class. The general concept is illustrated through a detailed study of the relative Cauchy evolution for the homotopy AQFT associated with linear Yang-Mills theory, for which the usual stress-energy tensor is recovered.

UR - https://arxiv.org/abs/2108.10592

U2 - 10.1007/s00220-022-04352-7

DO - 10.1007/s00220-022-04352-7

M3 - Article

SN - 0010-3616

VL - 392

SP - 621

EP - 657

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -