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キーワード:
High Energy Physics - Theory, hep-th
要旨:
We consider the Polchinski RG equation for a theory of matrix scalar fields
interacting with single trace operators and show that it can be written in a
Hamiltonian form for a specific choice of the cut-off function. The obtained
Hamiltonian equations are a non-linear generalization of the shock-wave
equation that is known to be integrable. We present an infinite tower of
conserved quantities and recover their relation to Motzkin polynomials.
