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• W2890041438 abstract "We demonstrate that the problems of finding stable or metastable vacua in a low energy effective field theory requires solving nested nondeterministically polynomial (NP)-hard and co-NP-hard problems, while the problem of finding near-vacua can be solved in polynomial (P) time. Multiple problems relevant for computing effective potential contributions from string theory are shown to be instances of NP-hard problems. If $mathrm{P}ensuremath{ne}mathrm{NP}$, the hardness of finding string vacua is exponential in the number of scalar fields. Cosmological implications, including for rolling solutions, are discussed in light of a recently proposed measure." @default.
• W2890041438 created "2018-09-27" @default.
• W2890041438 creator A5033999253 @default.
• W2890041438 creator A5078867761 @default.
• W2890041438 date "2019-02-22" @default.
• W2890041438 modified "2023-09-25" @default.
• W2890041438 title "Computational complexity of vacua and near-vacua in field and string theory" @default.
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• W2890041438 doi "https://doi.org/10.1103/physrevd.99.046015" @default.
• W2890041438 hasPublicationYear "2019" @default.
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