nLab collective field theory

Collective field theory is a generalization of the method of treating plasma oscillations from

• D. Bohm, D. Pines, Phys. Rev. 92 (1953) 609;

to more general quantum systems. It has many applications in large N limit.

• A. Jevicki, B. Sakita, The quantum collective field method and its application to the planar limit, Nucl. Physics B 165, 3 (1980) 511-527, doi
• A. Jevicki, B. Sakita, Collective field approach to the large-N limit: Euclidian field theories, Nucl. Physics B 185, 1 (1981) 89-100, doi, kek scan
• A. Jevicki, B.Sakita, Phys. Rev. D 22, 467 (1980).
• A. Jevicki, Non-perturbative collective field theory, Nucl. Physics B 376, 1 (1992) 75-98, doi
• A. Jevicki, Higher Spin AdS-Duality from CFT:a constructive approach, conference slides 2011, pdf
• Antal Jevicki, João P. Rodrigues, Supersymmetric collective field theory, Physics Letters B 268, Issue 1 (1991), 53-58, doi
• B. Sakita, Field theory of strings as a collective field theory of $U(N)$ gauge fields, Phys. Rev. D 21, 1067–1073 (1980) doi
• M. Mondello, E. Onofri, Planar limit of the singlet spectrum for $SU(N)$-invariant quantum hamiltonians by the quantum collective field method, Physics Letters B 98, Issue 4 (1981), 277-279, doi