Correlation function (quantum field theory): Difference between revisions
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The correlation function can be interpreted physically as the amplitude for propagation of a particle or excitation between y and x. In the free theory, it is simply the Feynman propagator (for n=2).<ref>{{cite book|last1=Peskin|first1=Michael|last2=Schroeder|first2=David|title=An Introduction to Quantum Field Theory|publisher=Addison-Wesley}}</ref> |
The correlation function can be interpreted physically as the amplitude for propagation of a particle or excitation between y and x. In the free theory, it is simply the Feynman propagator (for n=2).<ref>{{cite book|last1=Peskin|first1=Michael|last2=Schroeder|first2=David|title=An Introduction to Quantum Field Theory|publisher=Addison-Wesley}}</ref> |
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Very important note : [Mohamed 15/08/2018] These (n) field operators at different positions , can be discribe according to Smarr's formula, the thermodynamics of black holes connect the mass M of a black hole to the surface A of its horizon and its possible kinetic moment L and electric charge Q: |
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{\displaystyle M=M(A,L,Q)}. |
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It is nevertheless possible, using the appropriate variable change, to use Euler's theorem, which then gives: |
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{\displaystyle M={\frac {\kappa A}{4\pi }}+2\Omega L+VQ} {\displaystyle M={\frac {\kappa A}{4\pi }}+2\Omega L+VQ}. |
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with κ: surface gravity; 2Ω: velocity of the nuclear vector of particle transport proportional to the speed of the wave of the earth = f. λ where f is the frequency of the wave and λ is its length; V is and the electric potential of the black hole. L is the quantum kinetic moment and plays a fundamental role in atomic and molecular physics, in the classification of electronic terms. |
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==See also== |
==See also== |
Revision as of 17:20, 15 August 2018
Quantum field theory |
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History |
In quantum field theory, the (real space) n-point correlation function is defined as the functional average (functional expectation value) of a product of field operators at different positions
For time-dependent correlation functions, the time-ordering operator is included.
Correlation functions are also called simply correlators. Sometimes, the phrase Green's function is used not only for two-point functions, but for any correlators.
The correlation function can be interpreted physically as the amplitude for propagation of a particle or excitation between y and x. In the free theory, it is simply the Feynman propagator (for n=2).[1]
Very important note : [Mohamed 15/08/2018] These (n) field operators at different positions , can be discribe according to Smarr's formula, the thermodynamics of black holes connect the mass M of a black hole to the surface A of its horizon and its possible kinetic moment L and electric charge Q: {\displaystyle M=M(A,L,Q)}. It is nevertheless possible, using the appropriate variable change, to use Euler's theorem, which then gives:
{\displaystyle M={\frac {\kappa A}{4\pi }}+2\Omega L+VQ} {\displaystyle M={\frac {\kappa A}{4\pi }}+2\Omega L+VQ}.
with κ: surface gravity; 2Ω: velocity of the nuclear vector of particle transport proportional to the speed of the wave of the earth = f. λ where f is the frequency of the wave and λ is its length; V is and the electric potential of the black hole. L is the quantum kinetic moment and plays a fundamental role in atomic and molecular physics, in the classification of electronic terms.
See also
- Connected correlation function
- One particle irreducible correlation function
- Green's function (many-body theory)
- Partition function (mathematics)
References
- ^ Peskin, Michael; Schroeder, David. An Introduction to Quantum Field Theory. Addison-Wesley.
Further reading
- Alexander Altland, Ben Simons (2006). Condensed Matter Field Theory. Cambridge University Press.
- Schroeder, Daniel V. and Michael Peskin, An Introduction to Quantum Field Theory. Addison-Wesley.