Interaction| Interaction |
In General > s.a. causal [action
at a distance]; force; field
theory and types; particles; particle
physics; quantum field theory.
* Idea: Generalizes the concept of force, and it is important to clarify
in what sense it generalizes it, if one wants to understand, for example, what
the ordinary concept of force and weak processes have in common.
* Remark: In classical
mechanics, forces are transmitted by action at a distance; In relativistic
mechanics, they are
described by classical or quantum field theory.
* Hope: Be able to derive
the existing interactions from a self-consistency argument using effective
theory ideas and phase transitions for steady states
far from equilibrium, which may exhibit universality; Something
like this has worked for ergodicity and equilibrium steady states.
Static Forces
* Idea: One can derive
the form of the potential for the static interaction between two field sources
by using properties of the field itself; In Minkowski
space,
V(x – x') 
R 
F(t–t', x – x')
dt ,
or by some other procedure involving the Schwinger propagator.
* Result: If a force is transmitted by a quantum of mass m, the
static force is
F = 
e–mr / r2 ,
where depends
on the interacting particles and the way they couple; For a quantum of odd
spin, or s > 2, =
0, so there can be no static force,
e.g., from neutrinos.
* And spin: For a force
transmitted by a boson of spin s between
two charges Q1 and Q2,
the coefficient that tells the strength and sign of
the force is (–1)s Q2Q2;
This comes from the static limit of an integral with currents and boson propagators,
which depend on s, in quantum field theory; Thus, the
graviton
must have s = 0 (Newtonian theory) or s = 2 (general relativity).
@ And spin: Deser AJP(05)aug-gq/04.
Specific Interactions > s.a. force [exchange
interaction]; types
of field theories and quantum
field theories.
@ Overview: Chamseddine ht/05-ln
[and representations of Poincaré Lie algebra, supersymmetry].
@ Strong: Vigier PLA(03)
[in terms of electromagnetism]; > s.a. QCD.
> Weak: see electroweak;
standard model.
> Gravitational: see
general relativity, gravity.
> Electromagnetic: see electromagnetism.
> Unified: see GUTS,
unified theories.
Special Topics > s.a. category
theory.
@ Effective interactions: Holstein AJP(99)may
[and Rayleigh scattering],
AJP(04)mar
[and H atom]; > s.a.
effective quantum field theory.
@ Non-locality in time: Gainutdinov et al PLA(02) [atom-surroundings].
@ Instantaneous interactions: Bebronne PLB(08)-a0806 [in
massive gravity].
@ Composite mediators:
Jenkins ht/04-in
[and Lorentz symmetry breaking].
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send feedback and suggestions to bombelli at olemiss.edu – modified 23
dec 2008