TY  - JOUR
A1  - Benini, Marco
A1  - Schenkel, Alexander
A1  - Schreiber, Urs
T1  - The Stack of Yang-Mills Fields on Lorentzian Manifolds
JF  - Communications in mathematical physics
N2  - We provide an abstract definition and an explicit construction of the stack of non-Abelian Yang-Mills fields on globally hyperbolic Lorentzian manifolds. We also formulate a stacky version of the Yang-Mills Cauchy problem and show that its well-posedness is equivalent to a whole family of parametrized PDE problems. Our work is based on the homotopy theoretical approach to stacks proposed in Hollander (Isr. J. Math. 163:93-124, 2008), which we shall extend by further constructions that are relevant for our purposes. In particular, we will clarify the concretification of mapping stacks to classifying stacks such as BG (con).
Y1  - 2018
U6  - https://doi.org/10.1007/s00220-018-3120-1
SN  - 0010-3616
SN  - 1432-0916
VL  - 359
IS  - 2
SP  - 765
EP  - 820
PB  - Springer
CY  - New York
ER  -