Universality of a truncated sigma-model
[3];
- George Washington University, Washington, DC (United States); University of Maryland, College Park, MD (United States); The George Washington University, Washington, D.C., United States
- University of Maryland, College Park, MD (United States)
- George Washington University, Washington, DC (United States)
Bosonic quantum field theories, even when regularized using a finite lattice, possess an infinite dimensional Hilbert space and, therefore, cannot be simulated in quantum computers with a finite number of qubits. A truncation of the Hilbert space is then needed and the physical results are obtained after a double limit: one to remove the truncation and another to remove the regulator (the continuum limit). A simpler alternative is to find a model with a finite dimensional Hilbert space belonging to the same universality class as the continuum model (a “qubitization”), so only the space continuum limit is required. A qubitization of the 1 + 1 dimensional asymptotically free O(3) nonlinear σ-model based on ideas of non-commutative geometry was previously proposed [1] and, in this paper, we provide evidence that it reproduces the physics of the σ-model both in the infrared and the ultraviolet regimes.
- Research Organization:
- George Washington University, Washington, DC (United States); University of Maryland, College Park, MD (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- Grant/Contract Number:
- FG02-93ER40762; FG02-95ER40907; SC0021143
- OSTI ID:
- 1977575
- Journal Information:
- Physics Letters. B, Journal Name: Physics Letters. B Journal Issue: C Vol. 832; ISSN 0370-2693
- Publisher:
- ElsevierCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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