Quantum field theory on curved low-dimensional space embedded in three-dimensional space

1993 ◽  
Vol 47 (1) ◽  
pp. 686-689 ◽  
Author(s):  
Shigeki Matsutani
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Quantum Field ◽  
Low Dimensional ◽  
Three Dimensional Space

scholarly journals The fermion-boson mapping in three-dimensional quantum field theory

1994 ◽  
Vol 338 (2-3) ◽  
pp. 253-258 ◽  
Author(s):  
Eduardo Fradkin ◽  
Fidel A. Schaposnik
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Three Dimensional ◽  
Quantum Field

THE PRINCIPLE OF MINIMAL SENSITIVITY APPLIED TO A NEW PERTURBATIVE SCHEME IN QUANTUM FIELD THEORY

1989 ◽  
Vol 04 (07) ◽  
pp. 1735-1746 ◽  
Author(s):  
H. F. JONES ◽  
M. MONOYIOS
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Dimensional Space ◽  
Exact Result ◽  
Field Theories ◽  
Quantum Field ◽  
One Dimensional ◽  
Perturbative Method ◽  
Improved Accuracy

A recently proposed perturbative method for solving a self-interacting scalar φ4 field theory consists of writing the interaction as gφ2(1+δ) and expanding in powers of δ. The method contains an ambiguity in so far as one could modify the interaction Lagrangian by a factor λ(1−δ). The truncated expansion depends on the unphysical parameter, whereas the exact result does not. We exploit this ambiguity by assigning to λ the value for which the truncated result is stationary, thus minimizing its sensitivity to λ. The technique is applied to field theories in zero-and one-dimensional space-times and gives improved accuracy as compared to fixed λ.

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