Non-linear field transformations simple examples and general remarks

2005 ◽  
pp. 32-44
Author(s):  
K. Sibold
Keyword(s):  
Non Linear ◽  
Linear Field

scholarly journals TheSMatrix in Non-Linear Field Theories

1971 ◽  
Vol 45 (3) ◽  
pp. 949-960
Author(s):  
Kazuhiko Nishijima ◽  
Tadashi Watanabe
Keyword(s):  
Field Theories ◽  
Non Linear ◽  
Linear Field

CONFORMALLY COVARIANT COUPLED NON-LINEAR FIELD THEORY ON THE HYPERCONE: VACUUM SOLUTIONS AND QUANTIZATION OF NORMAL MODES

1988 ◽  
Vol 03 (02) ◽  
pp. 161-165
Author(s):  
T. AÇIKTEPE ◽  
K.G. AKDENIZ ◽  
A.O. BARUT ◽  
J. KALAYCI
Keyword(s):  
Field Theory ◽  
Normal Modes ◽  
Scalar Fields ◽  
Particle Spectrum ◽  
Geometric Meaning ◽  
Model Type ◽  
Quantized Fields ◽  
Non Linear ◽  
Vacuum Solutions ◽  
Linear Field

For the conformally covariant coupled non-linear spinor-scalar fields of the σ -model type we show that the non-trivial vacuum instanton solutions have a geometric meaning as constant spinors on the five-dimensional hypercone. The quantized fields around these solutions correspond to the normal modes of the hypercone. A connection is thus established between field theory, particle spectrum of the fields and quantized excitations of a geometry (the hypercone).

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