Chiral phase diagram in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>QED</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>

Feng, Hong-Tao; Shi, Song; Sun, Weimin; Zong, Hong-Shi

doi:10.1103/physrevd.86.045020

Cited by 13 publications

(20 citation statements)

References 21 publications

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“…Lee [46] noticed the existence of infrared divergence and then simply neglected the transverse component of gauge boson propagator. The same strategy is widely utilized in other works [42][43][44][45][50][51][52][53][54][55]. More recently, Lo and Swanson [69] also stressed the existence of infrared divergence and proposed to remove this divergence by choosing an appropriate temperaturedependent gauge parameter.…”

Section: Dynamical Mass Generation Under a New Approximationmentioning

confidence: 87%

“…Many previous DSE calculations of dynamical fermion mass adopted an instantaneous approximation, which is often accompanied by simply ignoring the transverse component of gauge interaction [42][43][44][45][50][51][52][53][54][55]. As already explained in the context, at finite temperature or at a finite fermion damping rate, the longitudinal component of gauge interaction becomes short ranged due to static screening, whereas the transverse component of gauge interaction remains long ranged as required by the local gauge invariance.…”

Section: Summary and Discussionmentioning

confidence: 97%

“…The fate of dynamical mass generation at finite temperature [42][43][44][45][46][47][48][49][50][51][52][53][54][55][56] has also attracted considerable interest. Notice that finite temperature QED 3 is not only interesting from the viewpoint of quantum field theory, but of practical value since QED 3 has wide applications in condensed matter physics.…”

Section: Introductionmentioning

confidence: 99%

“…As a consequence, the DSE becomes much more complicated, so it is usually necessary to make certain approximations to perform algebraic calculations. A number of different approximations have been proposed to study dynamical mass generation in finite temperature QED 3 [42][43][44][45][46][49][50][51][52][53][54][55]. The most frequently used one is the so-called instantaneous approximation, which assumes that the gauge boson propagator is completely independent of energy,…”

Section: Introductionmentioning

confidence: 99%

“…In previous works [42][43][44][45][50][51][52][53][54][55], the transverse component of gauge boson propagator, Δ ij , is usually ignored on top of the instantaneous approximation, i.e.,…”

Section: Introductionmentioning

confidence: 99%

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Infrared behavior of dynamical fermion mass generation inQED3

Wang¹,

Liu²,

Zhang³

2015

Phys. Rev. D

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Extensive investigations show that QED 3 exhibits dynamical fermion mass generation at zero temperature when the fermion flavor N is sufficiently small. However, it seems difficult to extend the theoretical analysis to finite temperature. We study this problem by means of the Dyson-Schwinger equation approach after considering the effect of finite temperature or disorder-induced fermion damping. Under the widely used instantaneous approximation, the dynamical mass displays an infrared divergence in both cases. We then adopt a new approximation that includes an energy-dependent gauge boson propagator and obtain results for dynamical fermion mass that do not contain infrared divergence. The validity of the new approximation is examined by comparing it to the well-established results obtained at zero temperature.

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Section: Dynamical Mass Generation Under a New Approximationmentioning

confidence: 87%

Section: Summary and Discussionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…In previous works [42][43][44][45][50][51][52][53][54][55], the transverse component of gauge boson propagator, Δ ij , is usually ignored on top of the instantaneous approximation, i.e.,…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Infrared behavior of dynamical fermion mass generation inQED3

Wang¹,

Liu²,

Zhang³

2015

Phys. Rev. D

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Supersymmetry, naturalness and light higgsinos

Mustafayev

Tata

2014

Indian J Phys

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We compare and contrast three different sensitivity measures, ∆ −1 EW , ∆ −1 HS and ∆ −1 BG that have been used in discussions of fine-tuning. We argue that though not a fine-tuning measure, ∆ EW , which is essentially determined by the particle spectrum, is important because ∆ −1 EW quantifies the minimum fine-tuning present in any theory with a specified spectrum. We emphasize the critical role of incorporating correlations between various model parameters in discussions of fine-tuning. We provide toy examples to show that if we can find high scale theories with specific correlations amongst parameters, the value of the traditional fine-tuning measure ∆ −1 BG (which differs significantly from ∆ −1 HS only when these correlations are important) would be close to ∆ −1 EW . We then set up the radiatively driven natural SUSY framework that we advocate for phenomenological analyses of natural models of supersymmetry, and review the implications of naturalness for LHC and ILC searches for SUSY as well as for searches for SUSY dark matter.

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Focus point in gaugino mediation — Reconsideration of the fine-tuning problem

Yanagida

Yokozaki

2013

Physics Letters B

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We reconsider the fine-tuning problem in SUSY models, motivated by the recent observation of the relatively heavy Higgs boson and non-observation of the SUSY particles at the LHC. Based on this thought, we demonstrate a focus point-like behavior in a gaugino mediation model, and show that the fine-tuning is indeed reduced to about 2% level if the ratio of the gluino mass to wino mass is about 0.4 at the GUT scale. We show that such a mass ratio may arise naturally in a product group unification model without the doublet-triplet splitting problem. This fact suggests that the fine-tuning problem crucially depends on the physics at the high energy scale.

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Chiral phase diagram inQED3

Cited by 13 publications

References 21 publications

Infrared behavior of dynamical fermion mass generation inQED3

Infrared behavior of dynamical fermion mass generation inQED3

Supersymmetry, naturalness and light higgsinos

Focus point in gaugino mediation — Reconsideration of the fine-tuning problem

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