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Effective QCD string beyond Nambu-Goto
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We consider the QCD string as an effective string, whose action describes long-range stringy fluctuations. The leading infrared contribution to the ground state energy is given by the Alvarez-Arvis formula, usually derived using the Nambu-Goto action. Here we rederive it by a saddle point calculation using the Polyakov formulation of the free string, where the world sheet metric and the target space coordinates are treated as independent variables. The next order relevant in the infrared term in the effective action is the extrinsic curvature term. We show that the spectrum does not change order by order in the inverse string length, but may change at intermediate distances.
Forward citations
Cited by 2 Pith papers
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Confining Flux Tube in the Trace Deformed (2+1) Dimensional SU(2) Gauge Theory
In the reconfined phase of trace-deformed (2+1)D SU(2) gauge theory, Polyakov-loop data are accurately fit by the Polchinski-Yang rigid string while Nambu-Goto fails, with modified flux-tube width and a shift to first...
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Effective string description of the reconfined phase in the trace deformed $\mathrm{SU}(2)$ Yang-Mills theory in (2+1) dimensions
In the reconfined phase of trace deformed SU(2) gauge theory, the flux tube energy follows the Polchinski-Yang rigid string rather than the Nambu-Goto string.
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