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Choosing c dimensionless is equivalent to measuring distance and time with the same units, giving energy and mass the same units. Making (formula presented) dimensionless gives energy (and mass) the units of inverse time (or inverse length)
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Choosing c dimensionless is equivalent to measuring distance and time with the same units, giving energy and mass the same units. Making (formula presented) dimensionless gives energy (and mass) the units of inverse time (or inverse length).
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30
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0003643208
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a perturbative expansion for the energy, the Feynman diagrams involve integrals over all momentum (or mass). A dimensional analysis implies that the dependence of the coupling constant on mass is inversely related to that of the integrand as a whole. Therefore, if the coupling constant depends inversely on the mass, the integrand will contain positive powers of the mass, and higher perturbative orders will diverge increasingly rapidly. This leads to new divergences at each order and a nonrenormalizable theory. Since each divergent term needs to be absorbed into an experimentally measured quantity, nonrenormalizable theories have limited predictive power and are not accepted as valid models of nature. See, Perseus, Reading, PA
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In a perturbative expansion for the energy, the Feynman diagrams involve integrals over all momentum (or mass). A dimensional analysis implies that the dependence of the coupling constant on mass is inversely related to that of the integrand as a whole. Therefore, if the coupling constant depends inversely on the mass, the integrand will contain positive powers of the mass, and higher perturbative orders will diverge increasingly rapidly. This leads to new divergences at each order and a nonrenormalizable theory. Since each divergent term needs to be absorbed into an experimentally measured quantity, nonrenormalizable theories have limited predictive power and are not accepted as valid models of nature. See M.E. Peskin and D.V. Schroeder, An Introduction to Quantum Field Theory (Perseus, Reading, PA, 1995), pp. 315-322.
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thesis, Massachusetts Institute of Technology, unpublished
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26144450583
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All calculations were performed using the LDA functional of Perdew and Zunger, a plane-wave basis set with a cutoff of 300 Ry, and a 512 k-point sampling of the Brillouin zone. Details regarding efficient implementation of the stress field into plane-wave calculations will be presented elsewhere
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All calculations were performed using the LDA functional of Perdew and Zunger [J. Perdew and A. Zunger, Phys. Rev. B 23, 5048 (1981)], a plane-wave basis set with a cutoff of 300 Ry, and a 512 k-point sampling of the Brillouin zone. Details regarding efficient implementation of the stress field into plane-wave calculations will be presented elsewhere.
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Perdew, J.1
Zunger, A.2
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49
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85038302788
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Calculations for both structures were performed in an orthorhombic unit cell with parameters (formula presented) b, and c with (formula presented) and (formula presented). All atomic forces were relaxed to (formula presented)
-
Calculations for both structures were performed in an orthorhombic unit cell with parameters (formula presented) b, and c with (formula presented) and (formula presented). All atomic forces were relaxed to (formula presented).
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