scholarly journals Non-linear multi-plane wave solutions of self-dual Yang-Mills theory

1988 ◽  
Vol 116 (4) ◽  
pp. 659-674 ◽  
Author(s):  
H. J. de Vega
Keyword(s):  
Plane Wave ◽  
Yang Mills ◽  
Wave Solutions ◽  
Non Linear

Linear plane wave solutions of the Yang-Mills theory

1978 ◽  
Vol 77 (1) ◽  
pp. 71-72 ◽  
Author(s):  
Fulvio Melia ◽  
Shui-yin Lo
Keyword(s):  
Plane Wave ◽  
Yang Mills ◽  
Wave Solutions

scholarly journals Perturbative linearization of super-Yang-Mills theories in general gauges

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Hannes Malcha ◽  
Hermann Nicolai
Keyword(s):  
Large Class ◽  
Fourth Order ◽  
Landau Gauge ◽  
Third Order ◽  
Yang Mills ◽  
Free Theory ◽  
Non Linear ◽  
Functional Measure ◽  
Non Local ◽  
Jacobi Determinant

Abstract Supersymmetric Yang-Mills theories can be characterized by a non-local and non-linear transformation of the bosonic fields (Nicolai map) mapping the interacting functional measure to that of a free theory, such that the Jacobi determinant of the transformation equals the product of the fermionic determinants obtained by integrating out the gauginos and ghosts at least on the gauge hypersurface. While this transformation has been known so far only for the Landau gauge and to third order in the Yang-Mills coupling, we here extend the construction to a large class of (possibly non-linear and non-local) gauges, and exhibit the conditions for all statements to remain valid off the gauge hypersurface. Finally, we present explicit results to second order in the axial gauge and to fourth order in the Landau gauge.

scholarly journals On Plane Wave Solutions in Lorentz-Violating Extensions of Gravity

Galaxies ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 32
Author(s):  
J. R. Nascimento ◽  
A. Yu. Petrov ◽  
A. R. Vieira
Keyword(s):  
Plane Wave ◽  
Dispersion Relations ◽  
Wave Solutions ◽  
Higher Derivatives ◽  
Additive Term

In this paper, we obtain dispersion relations corresponding to plane wave solutions in Lorentz-breaking extensions of gravity with dimension 3, 4, 5 and 6 operators. We demonstrate that these dispersion relations display a usual Lorentz-invariant mode when the corresponding additive term involves higher derivatives.

Self-dual propagating wave solutions in Yang-Mills gauge theory

1979 ◽  
Vol 19 (12) ◽  
pp. 3649-3652 ◽  
Author(s):  
Eve Kovacs ◽  
Shui-Yin Lo
Keyword(s):  
Gauge Theory ◽  
Yang Mills ◽  
Wave Solutions

scholarly journals THE TACHYON FIELD BELOW THE MASS BARRIER

1994 ◽  
Vol 09 (20) ◽  
pp. 3497-3502 ◽  
Author(s):  
D.G. BARCI ◽  
C.G. BOLLINI ◽  
M.C. ROCCA
Keyword(s):  
Green Function ◽  
Eigenvalue Problem ◽  
Plane Wave ◽  
Time Evolution ◽  
Mass Parameter ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Tachyon Field ◽  
Expectation Value ◽  
Wave Solutions

We consider a tachyon field whose Fourier components correspond to spatial momenta with modulus smaller than the mass parameter. The plane wave solutions have then a time evolution which is a real exponential. The field is quantized and the solution of the eigenvalue problem for the Hamiltonian leads to the evaluation of the vacuum expectation value of products of field operators. The propagator turns out to be half-advanced and half-retarded. This completes the proof4 that the total propagator is the Wheeler Green function.4,7

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