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  • mathematical physics - What, to a physicist, are instantons and the . . .
    I study gauge theory from a mathematical perspective To me, one of the most fundamental ideas is the notion of an instanton on a 4-manifold To be precise, I have a Riemannian 4-manifold and a
  • field theory - Trying to clarify the definition of an instanton . . .
    The definition of an instanton, in [this Wikipedia article], is: a "classical solution to equations of motion with a finite, non-zero action" and further specifies that it is "on a Euclidean spacetime"
  • Instantons as classical solutions - Physics Stack Exchange
    Indeed, they cannot be ordinary saddle points, because the instanton-anti-instanton configuration lives in the same topological sector as the perturbative vacuum, so the configuration is smoothly connected to the vacuum solution These configurations exist as saddle points of the complexified path integral
  • Understanding instantons in pure Yang-Mills theory
    Yang-Mills Instantons are defined as finite action solutions to the corresponding Euclidean equation of motion If I understood it correct, then instantons are those classical gauge field configura
  • Euclidification of quantum field theories and instantons
    I have a question about the philosophy behind the concept of instantons So far I know (following translation from German wiki instantons are spatially and temporary localised soliton solutions in
  • Compactification and gauge choice for instanton solutions
    The instanton solutions are classical solutions of the Euclidean Yang-Mills equations that have a finite and non-zero action They can be interpreted as tunneling events between different vacua of the theory, which are labeled by the Chern-Simons number, a topological invariant
  • The Origins of Instantons from Path Integrals
    In ordinary perturbation theory without instantons, there is no summation over instanton sectors and integration over moduli II) One may wonder if the summation over instanton sectors in eq (1) constitutes a kind of over-counting of the field configurations in the path integral?
  • How do instantons look in real time spacetime?
    Does it imply that instantons do not exist in real spacetime or the instanton tunneling effects does not have observable consequences in Minkowsian spacetime? How does an instanton solution "look like" in real time? In imaginary time, the instanton solution interpolates between two vacua What happens in real space?
  • How can I understand instantons as sheaves? - Physics Stack Exchange
    I am not sure how to add context I try to understand why the moduli space of framed instantons can be identified with the moduli space of coherent torsion free sheaves thus identifying instantons with the sheaves The moduli space is indeed a locally ringed space and all the above properties you mention are valid I would like a step by step explanation on how to start with the physics





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