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- W4384156149 abstract "Abstract With the Becchi–Rouet–Stora–Tyutin (BRST) quantization of gauge theory, we solve the long-standing difficult problem of the local constraint conditions, i.e. the single occupation of a slave particle per site, in the slave particle theory. This difficulty is actually caused by inconsistently dealing with the local Lagrange multiplier λ i which ensures the constraint: in the Hamiltonian formalism of the theory, λ i is time-independent and commutes with the Hamiltonian while in the Lagrangian formalism, λ i ( t ) becomes time-dependent and plays a role of gauge field. This implies that the redundant degrees of freedom of λ i ( t ) are introduced and must be removed by the additional constraint, the gauge fixing condition (GFC) ∂ t λ i ( t ) = 0. In literature, this GFC was missed. We add this GFC and use the BRST quantization of gauge theory for Dirac’s first-class constraints in the slave particle theory. This GFC endows λ i ( t ) with dynamics and leads to important physical results. As an example, we study the Hubbard model at half-filling and find that the spinon is gapped in the weak U and the system is indeed a conventional metal, which resolves the paradox that the weak coupling state is a superconductor in the previous slave boson mean field (MF) theory. For the t – J model, we find that the dynamic effect of λ i ( t ) substantially suppresses the d -wave pairing gap and then the superconducting critical temperature may be lowered at least a factor of one-fifth of the MF value which is of the order of 1000 K. The renormalized T c is then close to that in cuprates." @default.
- W4384156149 created "2023-07-14" @default.
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- W4384156149 date "2023-09-01" @default.
- W4384156149 modified "2023-10-14" @default.
- W4384156149 title "Solving local constraint condition problem in slave particle theory with the BRST quantization" @default.
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- W4384156149 doi "https://doi.org/10.1088/1572-9494/ace763" @default.
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