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Volumn 65, Issue 22, 2002, Pages 1-8

Geometric formulation of quantum stress fields

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EID: 84875182572     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.224117     Document Type: Article
Times cited : (6)

References (49)
  • 25
  • 29
    • 85038323090 scopus 로고    scopus 로고
    • 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)
    • 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).
  • 30
    • 0003643208 scopus 로고
    • 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
    • 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.
    • (1995) An Introduction to Quantum Field Theory , pp. 315-322
    • Peskin, M.E.1    Schroeder, D.V.2
  • 39
    • 85038310204 scopus 로고
    • thesis, Massachusetts Institute of Technology, unpublished
    • R. P. Feynman, thesis, Massachusetts Institute of Technology, 1939 (unpublished);
    • (1939)
    • Feynman, R.P.1
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    • 34547564932 scopus 로고
    • Phys. Rev. 56, 340 (1939).
    • (1939) Phys. Rev. , vol.56 , pp. 340
  • 45
    • 26144450583 scopus 로고
    • 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
    • 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.
    • (1981) Phys. Rev. B , vol.23 , pp. 5048
    • Perdew, J.1    Zunger, A.2
  • 49
    • 85038302788 scopus 로고    scopus 로고
    • 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).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.