Understand
Any local field theory can be equivalently reformulated in the so-called unfolded form.
- General unfolded equations are non-Lagrangian even though the original theory is Lagrangian.
- Using the theory of a scalar field as a basic example, the concept of Lagrange anchor is applied to perform a consistent path-integral quantization of unfolded dynamics.
- It is shown that the unfolded representation for the canonical Lagrange anchor of the d'Alembert equation inevitably involves an infinite number of space-time derivatives.
Built on
R. D’Auria and P. Fre, Geometric supergravity in D=11 and its hidden supergroup
1982
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M. A. Vasiliev, Consistent equations for interacting massless fields of all spins in the first order in curvatures
1989
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R. L. Bryant, S. S. Chern, R. B. Gardner, H. H. Goldschmidt, P. A. Griffiths, Exterior differential systems, Springer-Verlag, New York, 1991
1991
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Similar
O. V. Shaynkman and M. A. Vasiliev, Scalar Field in Any Dimension From the Higher Spin Gauge Theory Perspective
2000
Cited alongside, same era.
M. A. Vasiliev, Higher spin gauge theories in various dimensions,
2004
Cited alongside, same era.
M. A. Vasiliev, Actions, Charges and Off-Shell Fields in the Unfolded Dynamics Approach,
2006
Cited alongside, same era.
X. Bekaert, S. Cnockaert, C. Iazeolla and M. A. Vasiliev, Nonlinear higher spin theories in various dimensions
Cited in the paper.
P. O. Kazinski, S. L. Lyakhovich and A. A. Sharapov, Lagrange structure and quantization
Cited in the paper.
S. L. Lyakhovich and A. A. Sharapov, Schwinger-Dyson equation for non-Lagrangian field theory
Cited in the paper.
S. L. Lyakhovich and A. A. Sharapov, Quantizing non-Lagrangian gauge theories: An augmentation method
Cited in the paper.
G. Barnich and M. Grigoriev, A Poincare lemma for sigma models of AKSZ type
Cited in the paper.
P. Fre and P. A. Grassi, Free Differential Algebras, Rheonomy, and Pure Spinors
Cited in the paper.
Then
S. L. Lyakhovich and A. A. Sharapov, Quantization of Donaldson-Uhlenbeck-Yau theory
2007
Later among the works it cites.
D. S. Kaparulin, Quantization of field theories in unfolded representation
2009
Later among the works it cites.
D. S. Kaparulin, S. L. Lyakhovich and A.A. Sharapov, Rigid Symmetries and Conservation Laws in Non-Lagrangian Field Theory
2010
Closest in time.
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