Spontaneous symmetry Breakdown and an Integral Expression of the Effective Potential in Quantum Electrodynamics

LI Fu-Bin

Chinese Physics C> 1992, Vol. 16> Issue(3) : 212-218

Spontaneous symmetry Breakdown and an Integral Expression of the Effective Potential in Quantum Electrodynamics

LI Fu-Bin ^,

The Mathematical-Mechanical Department,China University of Mining Technology,Xuzhou 221008

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Abstract：
The functional formalism for the effective potential is briefly reviewed for the case of a scalar field theory by using the method of steepest descents.This formalism is then applied to quantum electrodynamics and an integral expression is derived for the effective potential in the one-loop approximation.This expression is used to verify the absence of spontaneous symmetry breakdown for quantum electrodynamics in one space and one time dimension.

References

[1]

J. Iliopoulus, C. Itzykson, and A. Martin, Phys. Rev., 47, 1(1975), 346.[2] E. S. Abers and B. W. Lee, Phys, Rep., 9, 1(1973), 411.[3] S. Colemon.Proc. Summer School on Theoretical Physics, Erice 1973, ed. A. Zichichi,New York, Ac-ademic.[4] F. A. Berezin, The Method of Second Quantization, New York, Academic, (1966), Chap. 1,3.[5] J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics, New York, McGraw-Hill,(1964) Chap. 7

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LI Fu-Bin. Spontaneous symmetry Breakdown and an Integral Expression of the Effective Potential in Quantum Electrodynamics[J]. Chinese Physics C, 1992, 16(3): 212-218.

LI Fu-Bin. Spontaneous symmetry Breakdown and an Integral Expression of the Effective Potential in Quantum Electrodynamics[J]. Chinese Physics C, 1992, 16(3): 212-218. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Spontaneous symmetry Breakdown and an Integral Expression of the Effective Potential in Quantum Electrodynamics

LI Fu-Bin ^,

Corresponding author: LI Fu-Bin,

The Mathematical-Mechanical Department,China University of Mining Technology,Xuzhou 221008

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-03-05

Abstract: The functional formalism for the effective potential is briefly reviewed for the case of a scalar field theory by using the method of steepest descents.This formalism is then applied to quantum electrodynamics and an integral expression is derived for the effective potential in the one-loop approximation.This expression is used to verify the absence of spontaneous symmetry breakdown for quantum electrodynamics in one space and one time dimension.