Nonperturbative Approach to Yang–mills Thermodynamics

Hofmann, Ralf

doi:10.1142/s0217751x05023931

Cited by 61 publications

(350 citation statements)

References 80 publications

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“…This justifies using the latter for further argumentation. Then (21) has the interpretation of iteratively summing the following infinite number of diagrams …”

Section: Resummation Of the Highest-symmetry Diagramsmentioning

confidence: 99%

Massive Fluctuations in Deconfining SU(2) Yang-Mills Thermodynamics

Bischer

2017

Advances in High Energy Physics

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We review how vertex constraints inherited from the thermal ground state strongly reduce the integration support of loop fourmomenta associated with massive quasiparticles in bubble diagrams constituting corrections to the free thermal quasiparticle pressure. In spite of the observed increasingly suppressing effect when increasing 2-particle-irreducible (2PI) loop order, a quantitative analysis enables us to disprove the conjecture voiced in hep-th/0609033 that the loop expansion would terminate at a finite order. This reveals the necessity to investigate exact expressions of (at least some) higher-loop order diagrams. Explicit calculation shows that although the behaviour of the 2PI three-loop contribution at low temperatures displays hierarchical suppression compared to lower loop orders, its high-temperature expression instead dominates all lower orders. However, an all-loop-order resummation of a class of 2PI bubble diagrams is shown to yield an analytic continuation of the low-temperature hierarchy to all temperatures in the deconfining phase.

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“…This justifies using the latter for further argumentation. Then (21) has the interpretation of iteratively summing the following infinite number of diagrams …”

Section: Resummation Of the Highest-symmetry Diagramsmentioning

confidence: 99%

Massive Fluctuations in Deconfining SU(2) Yang-Mills Thermodynamics

Bischer

2017

Advances in High Energy Physics

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“…While the former two phases possess propagating gauge fields, a complete decoupling thereof takes place at a Hagedorn transition towards the confining phase [8][9][10][11][12] . Namely, by the decay of a preconfining ground state, consisting of 2 ISRN Mathematical Physics collapsing magnetic w.r.t.…”

Section: Introductionmentioning

confidence: 99%

Evolving Center-Vortex Loops

Hofmann

2012

ISRN Mathematical Physics

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We consider coarse-graining applied to nonselfintersecting planar centervortex loops as they emerge in the confining phase of an SU 2 Yang-Mills theory. Well-established properties of planar curve-shrinking predict that a suitably defined, geometric effective action exhibits meanfield critical behavior when the conformal limit of circular points is reached. This suggests the existence of an asymptotic mass gap. We demonstrate that the initially sharp mean center-of-mass position in a given ensemble of curves develops a variance under the flow as is the case for a position eigenstate in free-particle quantum mechanics under unitary time evolution. A possible application of these concepts is an approach to high-T c superconductivity based a on the nonlocal nature of the electron 1 fold selfintersecting center-vortex loop and b on planar curve-shrinking flow representing the decrease in thermal noise in a cooling cuprate.

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“…We intend to explore some consequences of the postulate SU(2) CMB today = U(1) Y in connection with axion physics. The observation of a massless and unscreened photon strongly constrains the region in the phase diagram of the SU(2) Yang-Mills theory corresponding to the present state of the Universe [12,13]. As a consequence, the Yang-Mills scale Λ CMB is determined to be comparable to T CMB : Λ CMB ∼ 10 −4 eV.…”

Section: Introductionmentioning

confidence: 99%

“…[12] into perspective with other approaches to Yang-Mills thermodynamics. First of all, it is important to note that ref.…”

Section: Introductionmentioning

confidence: 99%

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A Planck-scale axion and SU(2) Yang–Mills dynamics: present acceleration and the fate of the photon

Giacosa

Hofmann

2007

Eur. Phys. J. C

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From the time of CMB decoupling onwards we investigate cosmological evolution subject to a strongly interacting SU(2) gauge theory of Yang-Mills scale Λ ∼ 10 −4 eV (masquerading as the U (1) Y factor of the SM at present). The viability of this postulate is discussed in view of cosmological and (astro)particle physics bounds. The gauge theory is coupled to a spatially homogeneous and ultra-light (Planck-scale) axion field. As first pointed out by Frieman et al., such an axion is a viable candidate for quintessence, i.e. dynamical dark energy, being associated with today's cosmological acceleration. A prediction of an upper limit ∆t mγ=0 for the duration of the epoch stretching from the present to the point where the photon starts to be Meissner massive is obtained: ∆t mγ =0 ∼ 2.2 billion years.

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Nonperturbative Approach to Yang–mills Thermodynamics

Cited by 61 publications

References 80 publications

Massive Fluctuations in Deconfining SU(2) Yang-Mills Thermodynamics

Massive Fluctuations in Deconfining SU(2) Yang-Mills Thermodynamics

Evolving Center-Vortex Loops

A Planck-scale axion and SU(2) Yang–Mills dynamics: present acceleration and the fate of the photon

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