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2017

Wilsonian Ward Identities

Rosten, Oliver J.

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For conformal field theories, it is shown how the Ward identity corresponding to dilatation invariance arises in a Wilsonian setting.

In so doing, several points which are opaque in textbook treatments are clarified.
Exploiting the fact that the Exact Renormalization Group furnishes a representation of the conformal algebra allows dilatation invariance to be stated directly as a property of the action, despite the presence of a regulator.
This obviates the need for formal statements that conformal invariance is recovered once the regulator is removed.

Wilsonian Ward Identities · Around

Built on

K. G. Wilson and J. Kogut, “The Renormalization group and the epsilon expansion,” Phys. Rept
1974
Earlier work this paper cites.
J. Polchinski, “Renormalization And Effective Lagrangians,” Nucl. Phys
1984
Earlier work this paper cites.
R. D. Ball, P. E. Haagensen, J. I. Latorre, and E. Moreno, “Scheme Independence And The Exact Renormalization Group,” Phys. Lett
1995
Earlier work this paper cites.

Similar

Springer, 1997
F. Di Francesco, P. Mathieu, and D. Sénéchal, Conformal Field Theory · 1997
Cited alongside, same era.
J. L. Latorre and T. R. Morris, “Exact scheme independence,” JHEP
2000
Cited alongside, same era.
O. J. Rosten, “Fundamentals of the Exact Renormalization Group,” Phys. Rept
Original
2012
Cited alongside, same era.
H. Sonoda, “Conformal invariance for Wilson actions,” arXiv:1705.01239 [hep-th]
Original
Cited in the paper.

Then

H. Osborn and D. E. Twigg, “Remarks on Exact RG Equations,” Annals Phys
Original
2012
Later among the works it cites.
O. J. Rosten, “On Functional Representations of the Conformal Algebra,” Eur. Phys. J
Original
2017
Closest in time.
O. J. Rosten, “A Wilsonian Energy-Momentum Tensor,” Eur. Phys. J
Original
2018
Closest in time.

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