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Vertex functions and their flow equations from the 2PI effective action (2022)
Journal Article
Millington, P., & Saffin, P. M. (2022). Vertex functions and their flow equations from the 2PI effective action. Journal of Physics A: Mathematical and Theoretical, 55(43), Article 435402. https://doi.org/10.1088/1751-8121/ac99ae

By exploiting the convexity of the two-particle-irreducible effective action, we describe a procedure for extracting n-point vertex functions. This procedure is developed within the context of a zero-dimensional ‘quantum field theory’ and subsequentl... Read More about Vertex functions and their flow equations from the 2PI effective action.

Optimisation of Thimble simulations and quantum dynamics of multiple fields in real time (2022)
Journal Article
Woodward, S., Saffin, P. M., Mou, Z. G., & Tranberg, A. (2022). Optimisation of Thimble simulations and quantum dynamics of multiple fields in real time. Journal of High Energy Physics, 2022(10), Article 82. https://doi.org/10.1007/JHEP10%282022%29082

We apply the Generalised Thimble approach to the computation of exact path integrals and correlators in real-time quantum field theory. We first investigate the details of the numerical implementation and ways of optimizing the algorithm. We subseque... Read More about Optimisation of Thimble simulations and quantum dynamics of multiple fields in real time.

Charge-swapping Q-balls in a logarithmic potential and Affleck-Dine condensate fragmentation (2022)
Journal Article
Hou, S. Y., Saffin, P. M., Xie, Q. X., & Zhou, S. Y. (2022). Charge-swapping Q-balls in a logarithmic potential and Affleck-Dine condensate fragmentation. Journal of High Energy Physics, 2022(7), Article 60. https://doi.org/10.1007/JHEP07%282022%29060

We study charge-swapping Q-balls, a kind of composite Q-ball where positive and negative charges co-exist and swap with time, in models with a logarithmic potential that arises naturally in supersymmetric extensions of the Standard Model. We show tha... Read More about Charge-swapping Q-balls in a logarithmic potential and Affleck-Dine condensate fragmentation.

Gravitational collapse of quantum fields and Choptuik scaling (2022)
Journal Article
Berczi, B., Saffin, P. M., & Zhou, S.-Y. (2022). Gravitational collapse of quantum fields and Choptuik scaling. Journal of High Energy Physics, 2022(2), Article 183. https://doi.org/10.1007/jhep02%282022%29183

Gravitational collapse into a black hole has been extensively studied with classical sources. We develop a new formalism to simulate quantum fields forming a black hole. By choosing a convenient coherent state, this formalism taps into well-establish... Read More about Gravitational collapse of quantum fields and Choptuik scaling.