Spontaneous symmetry breaking in quantum finance

Ivan Arraut; Alan Au; Alan Ching-Biu Tse

doi:10.1209/0295-5075/131/68003

Spontaneous symmetry breaking in quantum finance

Ivan Arraut
, Alan Au
, Alan Ching-Biu Tse

President's Office

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

– We analyze the phenomena of spontaneous symmetry breaking in quantum finance by using as a starting point the Black-Scholes (BS) and the Merton-Garman (MG) equations expressed in the Hamiltonian form. In this scenario the martingale condition (state) corresponds to the vacuum state which becomes degenerate when the symmetry of the system is spontaneously broken. We then analyze the broken symmetries of the system and we interpret from the perspective of financial markets the possible appearance of the Nambu-Goldstone bosons.

Original language	English
Journal	EPL
Volume	131
Issue number	6
DOIs	https://doi.org/10.1209/0295-5075/131/68003
Publication status	Published - Sept 2020

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title = "Spontaneous symmetry breaking in quantum finance",

abstract = "– We analyze the phenomena of spontaneous symmetry breaking in quantum finance by using as a starting point the Black-Scholes (BS) and the Merton-Garman (MG) equations expressed in the Hamiltonian form. In this scenario the martingale condition (state) corresponds to the vacuum state which becomes degenerate when the symmetry of the system is spontaneously broken. We then analyze the broken symmetries of the system and we interpret from the perspective of financial markets the possible appearance of the Nambu-Goldstone bosons.",

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N2 - – We analyze the phenomena of spontaneous symmetry breaking in quantum finance by using as a starting point the Black-Scholes (BS) and the Merton-Garman (MG) equations expressed in the Hamiltonian form. In this scenario the martingale condition (state) corresponds to the vacuum state which becomes degenerate when the symmetry of the system is spontaneously broken. We then analyze the broken symmetries of the system and we interpret from the perspective of financial markets the possible appearance of the Nambu-Goldstone bosons.

AB - – We analyze the phenomena of spontaneous symmetry breaking in quantum finance by using as a starting point the Black-Scholes (BS) and the Merton-Garman (MG) equations expressed in the Hamiltonian form. In this scenario the martingale condition (state) corresponds to the vacuum state which becomes degenerate when the symmetry of the system is spontaneously broken. We then analyze the broken symmetries of the system and we interpret from the perspective of financial markets the possible appearance of the Nambu-Goldstone bosons.

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DO - 10.1209/0295-5075/131/68003

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SN - 0295-5075

VL - 131

JO - EPL

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Spontaneous symmetry breaking in quantum finance

Abstract

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