Connection space approach to ambiguities of gauge theories | Zendy

R. Aldrovandi | Zendy; A. L. Barbosa | Zendy

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Connection space approach to ambiguities of gauge theories

Author(s) -

R. Aldrovandi,

A. L. Barbosa

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.2365

Subject(s) - mathematics , connection (principal bundle) , gauge (firearms) , space (punctuation) , line (geometry) , affine transformation , ambiguity , gauge theory , real line , field (mathematics) , pure mathematics , mathematical analysis , geometry , mathematical physics , computer science , archaeology , history , operating system , programming language

Two distinct gauge potentials can have the same field strength, in which case they are said to be “copies” of each other. The consequences of this ambiguity for the general affine space 𝒜 of gauge potentials are examined. Any two potentials are connected by a straight line in 𝒜, but a straight line going through two copies either contains no other copy or is entirely formed by copies

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