Sixth order derivative expansion of one-loop effective actions

Caro, J.; Salcedo, L. L.

doi:10.1016/0370-2693(93)90945-e

Cited by 18 publications

(39 citation statements)

References 4 publications

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“…(2.15) in a manifestly covariant form for U = U H (x) have been derived in the literature up to O ζ −2 , i.e. for the case of dimension-six operators [3,22,24,25], that we reproduce in eq. (A.2).…”

Section: Jhep09(2016)156mentioning

confidence: 92%

“…(4.23) simply reads 24) where, in the last line, we used the EOM for the heavy triplet, eq. (4.17), and we defined the hermitian derivative terms W (x, ∂ x + ip) at leading order, and we can take the expression given in eq.…”

Section: Jhep09(2016)156mentioning

confidence: 99%

“…The first term comes from contributions involving U H (x) only and, since U H (x) is momentum independent, it can be obtained from the universal formula provided in the literature [3,22,24,25] (see also [4] for the case when several scales are involved) which, for completeness, we reproduce here: and U LH at most O(ζ 0 ) in our power counting, the series in eq. (2.15) has to be expanded up to n = 5 for the contributions to dimension-six operators…”

Section: A General Expressions For Dimension-six Operatorsmentioning

confidence: 99%

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Integrating out heavy particles with functional methods: a simplified framework

Fuentes-Martín¹,

Portolés²,

Ruiz-Femenía³

2016

J. High Energ. Phys.

109

132

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We present a systematic procedure to obtain the one-loop low-energy effective Lagrangian resulting from integrating out the heavy fields of a given ultraviolet theory. We show that the matching coefficients are determined entirely by the hard region of the functional determinant involving the heavy fields. This represents an important simplification with respect the conventional matching approach, where the full and effective theory contributions have to be computed separately and a cancellation of the infrared divergent parts has to take place. We illustrate the method with a descriptive toy model and with an extension of the Standard Model with a heavy real scalar triplet. A comparison with other schemes that have been put forward recently is also provided.

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Section: Jhep09(2016)156mentioning

confidence: 92%

Section: Jhep09(2016)156mentioning

confidence: 99%

Section: A General Expressions For Dimension-six Operatorsmentioning

confidence: 99%

See 1 more Smart Citation

Integrating out heavy particles with functional methods: a simplified framework

Fuentes-Martín¹,

Portolés²,

Ruiz-Femenía³

2016

J. High Energ. Phys.

109

132

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“…For completeness we just quote the main steps of the method presented in [27,28]. U(X) is an operator depending on the position operator X µ and can have any internal symmetry structure.…”

Section: Appendix Semiclassical Expansion Of the Functional Determinantmentioning

confidence: 99%

“…The main goal is to restore this invariance in an explicit manner. We will not dwell upon the details which have been described at length elsewhere [28]. The final result can be cast in the form…”

Section: Appendix Semiclassical Expansion Of the Functional Determinantmentioning

confidence: 99%

Semiclassical expansions up to -order in relativistic nuclear physics

Caro

Arriola

Salcedo

1996

J. Phys. G: Nucl. Part. Phys.

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We present the first calculation of theh 4 -Wigner-Kirkwood corrections to a relativistic system of fermions in the presence of external scalar and vector potentials. The method we propose allows to compute efficiently semiclassical corrections to one body operators such as mean energies and local densities. It also preserves gauge invariance and produces explicitly convergent results despite some apparent divergencies at the classical turning points. As a byproduct we obtain theh 4 corrections stemming from the polarization of the Dirac sea. We apply our results to the relativistic σ-ω Lagrangian in the Hartree valence approximation. We compare the semiclassical expansion with the exact result and with the Strutinsky average whenever it can be obtained. We find that theh 4 corrections are much smaller than typical shell effects. Our results provide convincing arguments to neglect higher than second orderh effects in the Wigner-Kirkwood scheme to relativistic nuclear physics in the mean field approximation.

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The Higher Derivative Expansion of the Effective Action by the String Inspired Method, II

et al. 1998

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We apply the string-inspired worldline formalism to the calculation of the higher derivative expansion of one-loop effective actions in non-Abelian gauge theory. For this purpose, we have completely computerized the method, using the symbolic manipulation programs FORM, PERL and M. Explicit results are given to sixth order in the inverse mass expansion, reduced to a minimal basis of invariants specifically adapted to the method. Detailed comparisons are made with other gauge-invariant algorithms for calculating the same expansion. This includes an explicit check of all coefficients up to fifth order.1998 Academic Press

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Sixth order derivative expansion of one-loop effective actions

Cited by 18 publications

References 4 publications

Integrating out heavy particles with functional methods: a simplified framework

Integrating out heavy particles with functional methods: a simplified framework

Semiclassical expansions up to -order in relativistic nuclear physics

The Higher Derivative Expansion of the Effective Action by the String Inspired Method, II

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