Graph rules for the linked cluster expansion of the Legendre effective action

M. Wortis, Linked Cluster Expansions, in: Phase Transitions and Critical Phenomena

1974

Earlier work this paper cites.

A. Vasilev and A. Radzhabov, Legendre transforms in the Ising model, Theor. Math. Phys. 21

1974

Earlier work this paper cites.

A. Vasilev and A. Radzhabov, Analysis of nonstar graphs of the Legendre transform in the Ising model, Theor. Math. Phys. 23

1975

Earlier work this paper cites.

G. Baker and J. Kincaid, The continuous-spin Ising model, g 0 : ϕ 0 4 : d g_{0}:\phi_{0}^{4}:_{d} field theory, and the renormalization group, J. Stat. Phys. 24

1981

Earlier work this paper cites.

D. Brydges and T. Kennedy, Mayer expansions and the Hamilton-Jacobi equation, J. Stat. Phys. 481

1987

Earlier work this paper cites.

C. Itsykson and J. Drouffe, Statistical Field Theory

1989

Earlier work this paper cites.

A. Pordt and T. Reisz, Linked cluster expansions beyond nearest neighbor interactions: convergence and graph classes, Int. J. Mod. Phys. A12

1997

Earlier work this paper cites.

M. de la Plata and L. Salcedo, Feynman diagrams with the effective action, J. Phys. A31

1998

Cited alongside, same era.

D. Brydges and P. Leroux, Note on Legendre transform and line-irreducible graphs, preprint, 2003

2003

Cited alongside, same era.

J. Oitmaa, C. Hamer, and W. Zheng, Series Expansion Methods for strongly interacting lattice models

2006

Cited alongside, same era.

A. Mestre and R. Oeckl, Generating loop graphs via Hopf algebra in quantum field theory, J. Math. Phys. 47

2006

Cited alongside, same era.

A. Sokal, A ridiculously simple and explicit implicit function theorem, Séminaire Lotharingien de Combinatoire 61 A

2009

Cited alongside, same era.

P. Kopietz, L. Bartosch, and F. Schütz, Introduction to the Functional Renormalization Group

C. Brouder and F. Patras, One particle irreducibility with initial conditions, in: Contemporary Math. 539

2011

Later among the works it cites.

W. Faris, Combinatorial Species and Feynman diagrams, Séminaire Lotharingien de Combinatoire 61A

2011

Later among the works it cites.

A. Wipf, Statistical Approach to Quantum Field Theory

2013

Later among the works it cites.

S. Jansen, S. Tate, D. Tsagkarogiannis, and D. Ueltschi, Multispecies Viral Expansions, Commun. Math. Phys. 330

2014

Later among the works it cites.

R. Percacci, An introduction to covariant Quantum Gravity and Asymptotic Safety

2017

Later among the works it cites.

D. Jackson, A. Kempf, and A. Morales, A robust generalization of the Legendre transform for QFT, J. Phys. (Math. Theor.) A50