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The reduced form of the Uda equation is analogous to the ordinary Schrödinger equation:
This equation is for a stationary quantum state with energy eigenvalue zero.
mdχ(t)/dt is analogous to qAk(x) and -S[χ] is analogous to qφ(x).
This correspondence is fully understood by writing
qAt[χ] = mdχ(t)/dt, qφ[χ] = -S[χ].
So, mdχ(t)/dt should be called
(meta charge)×(the t-th component of the vector potential of meta gauge field at a history χ),
and -S[χ] should be called
(meta charge)×(the scalar potential of meta gauge field at a history χ).
Here, a classical history χ plays a role of a position x in the old theory.
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This article is a rewrite of the article 'Meta Gauge Field' in the following page.
Former half@Theory of Quantum History Entangled in Time-like Direction@Products of Grammatical Physics@Grammatical Physics@Forum@Vintage(2008-2014)
The content of this article was presented by me at JPS 2011 Autumn Meeting.
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