Further studies in aesthetic field theory V; higher dimensions

1974 ◽  
Vol 11 (2) ◽  
pp. 93-105 ◽  
Author(s):  
M. Muraskin ◽  
B. Ring
Keyword(s):  
Field Theory ◽  
Higher Dimensions ◽  
Aesthetic Field

Particle behavior in aesthetic field theory

1974 ◽  
Vol 4 (3) ◽  
pp. 395-405 ◽  
Author(s):  
Murray Muraskin ◽  
Beatrice Ring
Keyword(s):  
Field Theory ◽  
Particle Behavior ◽  
Aesthetic Field

THE AVERAGE AVALANCHE SIZE IN THE MANNA MODEL AND OTHER MODELS OF SELF-ORGANIZED CRITICALITY

2013 ◽  
Vol 27 (05) ◽  
pp. 1350009 ◽  
Author(s):  
GUNNAR PRUESSNER
Keyword(s):  
Field Theory ◽  
Boundary Conditions ◽  
Higher Dimensions ◽  
One Dimension ◽  
Leading Order ◽  
Numerical Work ◽  
Avalanche Size ◽  
Self Organized ◽  
Self Organized Criticality ◽  
External Driving

The average avalanche size can be calculated exactly in a number of models of self-organized criticality (SOC). While the calculation is straight-forward in one dimension, it is more involved in higher dimensions and further complicated by the presence of different boundary conditions and different forms of external driving. Amplitudes of the leading order are determined analytically and evaluated to obtain analytical references for numerical work. A subtle link exists between the procedure to calculate the average avalanche size and the field theory of SOC.

KINETIC APPROACH TO THE INITIAL VALUE PROBLEM IN QUANTUM FIELD THEORY

1990 ◽  
Vol 05 (20) ◽  
pp. 1605-1614 ◽  
Author(s):  
LIN CHI YONG ◽  
A.F.R. DE TOLEDO PIZA
Keyword(s):  
Field Theory ◽  
Body Problem ◽  
Numerical Solutions ◽  
Kinetic Equations ◽  
Higher Dimensions ◽  
Quantum Field ◽  
Many Body ◽  
Initial Value ◽  
Projection Techniques ◽  
Working Out

Time-dependent projection techniques developed to derive kinetic equations in the context of the quantum many-body problem are applied to Φ4 field theory. The approach is illustrated by working out the (0+1)-dimensional case explicitly, including numerical solutions of the kinetic equations. Extension to higher dimensions is briefly discussed.

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