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Alternative flow equation for the functional renormalization group (2019)
Journal Article
Alexander, E., Millington, P., Nursey, J., & Saffin, P. M. (2019). Alternative flow equation for the functional renormalization group. Physical Review D, 100(10), Article 101702(R). https://doi.org/10.1103/physrevd.100.101702

We derive an alternative to the Wetterich-Morris-Ellwanger equation by means of the two-particle irreducible (2PI) effective action, exploiting the method of external sources due to Garbrecht and Millington. The latter allows the two-point source of... Read More about Alternative flow equation for the functional renormalization group.

Quantum tunnelling, real-time dynamics and Picard-Lefschetz thimbles (2019)
Journal Article
Mou, Z., Saffin, P. M., & Tranberg, A. (2019). Quantum tunnelling, real-time dynamics and Picard-Lefschetz thimbles. Journal of High Energy Physics, 2019(11), https://doi.org/10.1007/jhep11%282019%29135

We follow up the work, where in light of the Picard-Lefschetz thimble approach, we split up the real-time path integral into two parts: the initial density matrix part which can be represented via an ensemble of initial conditions, and the dynamic pa... Read More about Quantum tunnelling, real-time dynamics and Picard-Lefschetz thimbles.

Visualising quantum effective action calculations in zero dimensions (2019)
Journal Article
Millington, P., & Saffin, P. M. (2019). Visualising quantum effective action calculations in zero dimensions. Journal of Physics A: Mathematical and Theoretical, 52(40), Article 405401. https://doi.org/10.1088/1751-8121/ab37e6

© 2019 IOP Publishing Ltd. We present an explicit treatment of the two-particle-irreducible (2PI) effective action for a zero-dimensional quantum field theory. The advantage of this simple playground is that we are required to deal only with function... Read More about Visualising quantum effective action calculations in zero dimensions.

Real-time quantum dynamics, path integrals and the method of thimbles (2019)
Journal Article
Mou, Z., Saffin, P. M., Tranberg, A., & Woodward, S. (2019). Real-time quantum dynamics, path integrals and the method of thimbles. Journal of High Energy Physics, 2019(6), https://doi.org/10.1007/jhep06%282019%29094

Direct numerical evaluation of the real-time path integral has a well-known sign problem that makes convergence exponentially slow. One promising remedy is to use Picard-Lefschetz theory to flow the domain of the field variables into the complex plan... Read More about Real-time quantum dynamics, path integrals and the method of thimbles.

Well-tempered cosmology (2019)
Journal Article
Emond, W. T., Li, C., Saffin, P. M., & Zhou, S. (2019). Well-tempered cosmology. Journal of Cosmology and Astroparticle Physics, 2019(05), https://doi.org/10.1088/1475-7516/2019/05/038

We examine an approach to cosmology, known as Well-Tempering, that allows for a de Sitter phase whose expansion is independent of the cosmological constant. Starting from a generic scalar-tensor theory compatible with the recent gravitational wave ob... Read More about Well-tempered cosmology.

Dark Energy after GW170817 Revisited (2019)
Journal Article
Copeland, E. J., Kopp, M., Padilla, A., Saffin, P. M., & Skordis, C. (2019). Dark Energy after GW170817 Revisited. Physical Review Letters, 122(6), Article 061301. https://doi.org/10.1103/physrevlett.122.061301

We revisit the status of scalar-tensor theories with applications to dark energy in the aftermath of the gravitational wave signal GW170817 and its optical counterpart GRB170817A. At the level of the cosmological background, we identify a class of th... Read More about Dark Energy after GW170817 Revisited.