An efficient method to compute the residual phase on a Lefschetz thimble

Cristoforetti M, Di Renzo F, Eruzzi G, Mukherjee A, Schmidt C, Scorzato L, Torrero C (2014)
Physical Review D 89(11).

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We propose an efficient method to compute the so-called residual phase that appears when performing Monte Carlo calculations on a Lefschetz thimble. The method is stochastic and its cost scales linearly with the physical volume, linearly with the number of stochastic estimators and quadratically with the length of the extra dimension along the gradient flow. This is a drastic improvement over previous estimates of the cost of computing the residual phase. We also report on basic tests of correctness and scaling of the code.
Erscheinungsjahr
2014
Zeitschriftentitel
Physical Review D
Band
89
Ausgabe
11
ISSN
1550-7998
eISSN
1550-2368
Page URI
https://pub.uni-bielefeld.de/record/2690848

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Cristoforetti M, Di Renzo F, Eruzzi G, et al. An efficient method to compute the residual phase on a Lefschetz thimble. Physical Review D. 2014;89(11).
Cristoforetti, M., Di Renzo, F., Eruzzi, G., Mukherjee, A., Schmidt, C., Scorzato, L., & Torrero, C. (2014). An efficient method to compute the residual phase on a Lefschetz thimble. Physical Review D, 89(11). doi:10.1103/PhysRevD.89.114505
Cristoforetti, M., Di Renzo, F., Eruzzi, G., Mukherjee, A., Schmidt, C., Scorzato, L., and Torrero, C. (2014). An efficient method to compute the residual phase on a Lefschetz thimble. Physical Review D 89.
Cristoforetti, M., et al., 2014. An efficient method to compute the residual phase on a Lefschetz thimble. Physical Review D, 89(11).
M. Cristoforetti, et al., “An efficient method to compute the residual phase on a Lefschetz thimble”, Physical Review D, vol. 89, 2014.
Cristoforetti, M., Di Renzo, F., Eruzzi, G., Mukherjee, A., Schmidt, C., Scorzato, L., Torrero, C.: An efficient method to compute the residual phase on a Lefschetz thimble. Physical Review D. 89, (2014).
Cristoforetti, M., Di Renzo, F., Eruzzi, G., Mukherjee, A., Schmidt, Christian, Scorzato, L., and Torrero, C. “An efficient method to compute the residual phase on a Lefschetz thimble”. Physical Review D 89.11 (2014).

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