Proves maximal transcendentality to all orders for the vacuum-energy expansion of the double-scaled large-N PCM, with coefficients as rational polynomials in odd zeta values after a natural coupling shift.
Volin,From the mass gap inO(N)to the non-Borel-summability inO(3)andO(4) sigma-models,Phys
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abstract
We give an analytical derivation of the mass gap of the O(N) sigma models and investigate a large-order behavior of the weak coupling asymptotic expansion for the energy. For sufficiently large N the series is sign-oscillating, which is expected from the large N solution of the sigma model. However, for N=3 and N=4 the series are sign positive.
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At large chemical potential the Gross-Neveu model enters a crystalline phase in which a-particle bound states condense, producing a periodically oscillating chiral condensate governed by two new scales Λ_n and Λ_c that replace the usual Λ.
Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.
citing papers explorer
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Maximal Transcendentality of the Double-Scaled PCM
Proves maximal transcendentality to all orders for the vacuum-energy expansion of the double-scaled large-N PCM, with coefficients as rational polynomials in odd zeta values after a natural coupling shift.
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Perturbative, Nonperturbative and Exact Aspects of Crystalline Phases in the Gross-Neveu Model
At large chemical potential the Gross-Neveu model enters a crystalline phase in which a-particle bound states condense, producing a periodically oscillating chiral condensate governed by two new scales Λ_n and Λ_c that replace the usual Λ.
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A note on the 2D NLSM free energy
Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.