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Journal articles on the topic 'Running coupling'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 February 2022

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1

Chishtie, F. A., M. D. Lepage, D. GC McKeon, T. G. Steele, and I. Zakout. "Exact one-loop running couplings in the standard model." Canadian Journal of Physics 86, no. 9 (September 1, 2008): 1067–70. http://dx.doi.org/10.1139/p08-036.

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Taking the dominant couplings in the standard model to be the quartic scalar coupling, the Yukawa coupling of the top quark, and the SU(3) gauge coupling, we consider their associated running couplings to one-loop order. Despite the nonlinear nature of the differential equations governing these functions, we show that they can be solved exactly. The nature of these solutions is discussed and their singularity structure is examined. It is shown that for a sufficiently small Higgs mass, the quartic scalar coupling decreases with increasing energy scale and becomes negative, indicative of vacuum instability. This behavior changes for a Higgs mass greater than 168 GeV, beyond which this couplant increases with increasing energy scales and becomes singular prior to the ultraviolet pole of the Yukawa coupling. Upper and lower bounds on the Higgs mass corresponding to new physics at the TeV scale are obtained and compare favourably with the numerical results of the one-loop and two-loop analyses with inclusion of electroweak couplings.PACS Nos.: 11.10.Hi, 14.80.Bn

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2

Deur, Alexandre, Stanley J. Brodsky, and Guy F. de Téramond. "The QCD running coupling." Progress in Particle and Nuclear Physics 90 (September 2016): 1–74. http://dx.doi.org/10.1016/j.ppnp.2016.04.003.

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3

Marchesini, G. "Power corrections and running coupling." Nuclear Physics B - Proceedings Supplements 71, no. 1-3 (March 1999): 85–89. http://dx.doi.org/10.1016/s0920-5632(98)00327-2.

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4

Rolf, J. "Running coupling for Wilson bermions." Nuclear Physics B - Proceedings Supplements 83-84, no. 1-3 (March 2000): 899–901. http://dx.doi.org/10.1016/s0920-5632(00)00409-6.

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5

Rolf, Juri, and Ulli Wolff. "Running coupling for Wilson bermions." Nuclear Physics B - Proceedings Supplements 83-84 (April 2000): 899–901. http://dx.doi.org/10.1016/s0920-5632(00)91839-5.

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6

Alekseev, A. I. "Synthetic Running Coupling of QCD." Few-Body Systems 40, no. 1-2 (September 8, 2006): 57–70. http://dx.doi.org/10.1007/s00601-006-0154-2.

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7

Kovchegov, Yuri V., and A. H. Mueller. "Running coupling effects in BFKL evolution." Physics Letters B 439, no. 3-4 (November 1998): 428–36. http://dx.doi.org/10.1016/s0370-2693(98)01059-4.

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8

Braun, M. A. "Odderon with a running coupling constant." European Physical Journal C 53, no. 1 (October 16, 2007): 59–63. http://dx.doi.org/10.1140/epjc/s10052-007-0428-y.

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9

Enqvist, K., and K. Kainulainen. "The running coupling at finite temperature." Zeitschrift f�r Physik C Particles and Fields 53, no. 1 (March 1992): 87–89. http://dx.doi.org/10.1007/bf01483876.

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10

Weisz, P. "Lattice investigations of the running coupling." Nuclear Physics B - Proceedings Supplements 47, no. 1-3 (March 1996): 71–83. http://dx.doi.org/10.1016/0920-5632(96)00033-3.

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11

auli, Vladimír. "Running coupling and fermion mass in strong coupling QED3+1." Journal of Physics G: Nuclear and Particle Physics 30, no. 6 (April 14, 2004): 739–58. http://dx.doi.org/10.1088/0954-3899/30/6/005.

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12

GIUNTI, C., C. W. KIM, and U. W. LEE. "RUNNING COUPLING CONSTANTS AND GRAND UNIFICATION MODELS." Modern Physics Letters A 06, no. 19 (June 21, 1991): 1745–55. http://dx.doi.org/10.1142/s0217732391001883.

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The evolution of the gauge coupling constants in the SU (N) and SO (N) grand unification models is examined. It is shown that the three coupling constants αs, α2, α1 in the minimal SU(5) model do not merge into one at 99% confidence level when they are extrapolated from the values at the mass scale MZ, whereas in its supersymmetric version, the coupling constants do merge into one within one standard deviation. In the SU (N) (with N > 5) models with a two-step symmetry breaking the coupling constants can merge into one, but these models are ruled out by the constraint imposed on the unification mass scale from the absence of proton decay. The SO (N) models with N ≥ 10 are shown to be consistent with the proton decay constraint. In particular, the unification scale for the SO(10) model is shown to be 1015~1016 GeV and the intermediate energy scale is 1013~1014 GeV .

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13

Prosperi, G. M., M. Raciti, and C. Simolo. "On the running coupling constant in QCD." Progress in Particle and Nuclear Physics 58, no. 2 (April 2007): 387–438. http://dx.doi.org/10.1016/j.ppnp.2006.09.001.

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14

Boosé, D., J. L. Jacquot, and J. Polonyi. "Running coupling constants of the Luttinger liquid." Physics Letters A 347, no. 4-6 (December 2005): 191–99. http://dx.doi.org/10.1016/j.physleta.2005.07.054.

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15

Lappi, T., and H. Mäntysaari. "Proposal for a running coupling JIMWLK equation." Nuclear Physics A 932 (December 2014): 69–74. http://dx.doi.org/10.1016/j.nuclphysa.2014.07.009.

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16

Forshaw, J. R., D. A. Ross, and A. Sabio Vera. "Solving the BFKL equation with running coupling." Physics Letters B 498, no. 3-4 (January 2001): 149–55. http://dx.doi.org/10.1016/s0370-2693(00)01386-1.

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17

Horowitz, W. A., and Y. V. Kovchegov. "Running coupling corrections to inclusive gluon production." Journal of Physics G: Nuclear and Particle Physics 38, no. 12 (November 10, 2011): 124064. http://dx.doi.org/10.1088/0954-3899/38/12/124064.

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18

Lombardo, Fernando C., and Francisco D. Mazzitelli. "Einstein-Langevin equations from running coupling constants." Physical Review D 55, no. 6 (March 15, 1997): 3889–92. http://dx.doi.org/10.1103/physrevd.55.3889.

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19

Qing, Ji, Yu Kai, Yu Hui, Wang Yong-Hong, and Zhao Tong-Jun. "Running Coupling Constants in N-N Interaction." Communications in Theoretical Physics 36, no. 1 (July 15, 2001): 44–46. http://dx.doi.org/10.1088/0253-6102/36/1/44.

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20

Dietrich, Dennis D. "Saturation Momentum: From Fixed to Running Coupling." Acta Physica Hungarica A) Heavy Ion Physics 27, no. 2-3 (October 1, 2006): 301–4. http://dx.doi.org/10.1556/aph.27.2006.2-3.26.

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21

Peshier, André. "QCD running coupling and collisional jet quenching." Journal of Physics G: Nuclear and Particle Physics 35, no. 4 (March 18, 2008): 044028. http://dx.doi.org/10.1088/0954-3899/35/4/044028.

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22

ZAKHAROV, B. G. "JET QUENCHING WITH T -DEPENDENT RUNNING COUPLING." ПИСЬМА В ЖУРНАЛ ЭКСПЕРИМЕНТАЛЬНОЙ И ТЕОРЕТИЧЕСКОЙ ФИЗИКИ 112, no. 11-12(12) (2020): 723–24. http://dx.doi.org/10.31857/s1234567820230019.

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23

Braun, M. "Reggeized gluons with a running coupling constant." Physics Letters B 348, no. 1-2 (March 1995): 190–95. http://dx.doi.org/10.1016/0370-2693(95)00101-p.

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24

Körner, J. G., A. A. Pivovarov, and K. Schilcher. "On the running electromagnetic coupling constant at." European Physical Journal C 9, no. 4 (1999): 551. http://dx.doi.org/10.1007/s100520050556.

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25

Michael, C. "The running coupling from lattice gauge theory." Physics Letters B 283, no. 1-2 (June 1992): 103–6. http://dx.doi.org/10.1016/0370-2693(92)91435-c.

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26

Wiesendanger, C., and A. Wipf. "Running Coupling Constants from Finite Size Effects." Annals of Physics 233, no. 1 (July 1994): 125–61. http://dx.doi.org/10.1006/aphy.1994.1063.

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27

ERMOLAEV, B. I., M. GRECO, and S. I. TROYAN. "ON THE FROZEN QCD COUPLING." Modern Physics Letters A 28, no. 24 (August 7, 2013): 1360005. http://dx.doi.org/10.1142/s0217732313600055.

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The frozen QCD coupling is a parameter often used as an effective fixed coupling. It is supposed to mimic both the running coupling effects and the lack of knowledge of αs in the infrared region. Usually the value of the frozen coupling is fixed from the analysis of the experimental data. A novel way to define such coupling(s) independently of the experiments is presented. We argue that there are different frozen couplings which are used in the double-logarithmic (DL) and single-logarithmic (SL) approximations. They also differ for space- and time-like arguments. Our estimates are in a good agreement with the results available in the literature.

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28

Chishtie, F. A., D. G. C. McKeon, and T. N. Sherry. "A systematic expansion of running couplings and masses." Modern Physics Letters A 34, no. 06 (February 28, 2019): 1950047. http://dx.doi.org/10.1142/s0217732319500470.

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As an alternative to directly integrating their defining equations to find the running coupling [Formula: see text] and the running mass [Formula: see text], we expand these quantities in powers of [Formula: see text] and their boundary values [Formula: see text] and [Formula: see text]. Renormalization group summation is used to partially sum these logarithms. We consider this approach using both the [Formula: see text] and ’t Hooft renormalization schemes. We also show how the couplings and masses in any two mass independent renormalization schemes are related.

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29

SÁNCHEZ-VEGA, BRUCE L., and ILYA L. SHAPIRO. "THE CASE OF ASYMPTOTIC SUPERSYMMETRY." Modern Physics Letters A 28, no. 14 (May 10, 2013): 1350053. http://dx.doi.org/10.1142/s0217732313500533.

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We start systematic investigation for the possibility to have supersymmetry (SUSY) as an asymptotic state of the gauge theory in the high energy (UV) limit, due to the renormalization group running of coupling constants of the theory. The answer on whether this situation takes place or not, can be resolved by dealing with the running of the ratios between Yukawa and scalar couplings to the gauge coupling. The behavior of these ratios does not depend too much on whether gauge coupling is asymptotically free (AF) or not. It can be shown that the UV stable fixed point for the Yukawa coupling is not supersymmetric. Taking this into account, one can break down SUSY only in the scalar coupling sector. We consider two simplest examples of such breaking, namely N = 1 supersymmetric QED and QCD. In one of the cases one can construct an example of SUSY being restored in the UV regime.

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30

Takabayashi, Tomoya, Mutsuaki Edama, Erika Yokoyama, Chiaki Kanaya, Takuma Inai, Yuta Tokunaga, and Masayoshi Kubo. "Changes in Kinematic Coupling Among the Rearfoot, Midfoot, and Forefoot Segments During Running and Walking." Journal of the American Podiatric Medical Association 108, no. 1 (January 1, 2018): 45–51. http://dx.doi.org/10.7547/16-024.

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Background: Understanding the concept of kinematic coupling is essential when selecting the appropriate therapeutic strategy and grasping mechanisms for the occurrence of injuries. A previous study reported that kinematic coupling between the rearfoot and shank during running and walking were different. However, because foot mobility involves not only the rearfoot but also the midfoot or forefoot, kinematic coupling is likely to occur among the rearfoot, midfoot, and forefoot segments. We investigated changes in kinematic coupling among the rearfoot, midfoot, and forefoot segments during running and walking. Methods: Ten healthy young men were instructed to run (2.5 ms–1) and walk (1.3 ms–1) on a treadmill at speeds set by the examiner. The three-dimensional joint angles of the rearfoot, midfoot, and forefoot were calculated based on the Leardini foot model Kinematic coupling was evaluated with the absolute value of the cross-correlation coefficients and coupling angles obtained by using a vector coding technique. Results: The cross-correlation coefficient between rearfoot eversion/inversion and midfoot dorsiflexion/plantarflexion was significantly higher during running (r = 0.79) than during walking (r = 0.58), suggesting that running requires stronger kinematic coupling between rearfoot eversion/inversion and midfoot plantarflexion/dorsiflexion than walking. Furthermore, the coupling angle between midfoot eversion/inversion and forefoot eversion/inversion was significantly less during running (30.0°) than during walking (40.7°) (P < .05). Hence, the magnitude of midfoot frontal plane excursion during running was greater than that during walking. Conclusions: Excessive rearfoot eversion during running is likely to lead to excessive midfoot dorsiflexion, and such abnormal kinematic coupling between the rearfoot and midfoot may be associated with mechanisms for the occurrence of injuries.

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31

Skullerud, Jon Ivar. "The running coupling from the quark-gluon vertex." Nuclear Physics B - Proceedings Supplements 63, no. 1-3 (April 1998): 242–44. http://dx.doi.org/10.1016/s0920-5632(97)00733-0.

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32

Thorne, R. S. "Running coupling BFKL equation and deep inelastic scattering." Nuclear Physics B - Proceedings Supplements 79, no. 1-3 (October 1999): 210–12. http://dx.doi.org/10.1016/s0920-5632(99)00678-7.

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33

Burgio, G., F. Di Renzo, C. Parrinello, and C. Pittori. "Search for corrections to the QCD running coupling." Nuclear Physics B - Proceedings Supplements 73, no. 1-3 (March 1999): 623–25. http://dx.doi.org/10.1016/s0920-5632(99)85155-x.

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34

Anderson, K. D., D. A. Ross, and M. G. Sotiropoulos. "Running coupling and Borel singularities at small x." Nuclear Physics B 515, no. 1-2 (March 1998): 249–68. http://dx.doi.org/10.1016/s0550-3213(97)00835-3.

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35

McKeonON, D. G. C. "Determining the Running Coupling from the Effective Action." Ukrainian Journal of Physics 60, no. 6 (June 2015): 497–502. http://dx.doi.org/10.15407/ujpe60.06.0497.

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36

Steffens, F. M. "The temperature dependence of the QCD running coupling." Brazilian Journal of Physics 36, no. 2b (June 2006): 582–85. http://dx.doi.org/10.1590/s0103-97332006000400020.

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37

Cucchieri, Attilio, and Tereza Mendes. "Propagators, running coupling and condensates in lattice QCD." Brazilian Journal of Physics 37, no. 2b (July 2007): 484–93. http://dx.doi.org/10.1590/s0103-97332007000400003.

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38

TANAKA, Shogo, and Yoshiyuki TAKAHASHI. "Optimal Electromagnetic Coupling for High Speed Running Radar." Transactions of the Society of Instrument and Control Engineers 44, no. 7 (2008): 545–51. http://dx.doi.org/10.9746/ve.sicetr1965.44.545.

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39

Heller, Urs M. "The Schrodinger functional running coupling with staggered fermions." Nuclear Physics B 504, no. 1-2 (October 1997): 435–58. http://dx.doi.org/10.1016/s0550-3213(97)00504-x.

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40

Tekin, Fatih, Rainer Sommer, and Ulli Wolff. "The running coupling of QCD with four flavors." Nuclear Physics B 840, no. 1-2 (November 2010): 114–28. http://dx.doi.org/10.1016/j.nuclphysb.2010.07.002.

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41

Dietrich, D. D. "Saturation momentum at fixed and running QCD coupling." European Physical Journal C 45, no. 2 (December 13, 2005): 409–15. http://dx.doi.org/10.1140/epjc/s2005-02449-8.

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42

Jones, H. F., and I. L. Solovtsov. "QCD running coupling constant in the timelike region." Physics Letters B 349, no. 4 (April 1995): 519–24. http://dx.doi.org/10.1016/0370-2693(95)00302-2.

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43

Körner, J. G., A. A. Pivovarov, and K. Schilcher. "On the running electromagnetic coupling constant at $M_Z$." European Physical Journal C 9, no. 4 (July 1999): 551–56. http://dx.doi.org/10.1007/s100530050498.

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44

Bali, G. S., and K. Schilling. "The running coupling from SU(3) gauge theory." Nuclear Physics B - Proceedings Supplements 30 (March 1993): 513–16. http://dx.doi.org/10.1016/0920-5632(93)90262-5.

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45

Wolff, Ulli. "Running coupling in SU(3) Yang-Mills Theory." Nuclear Physics B - Proceedings Supplements 34 (April 1994): 243–45. http://dx.doi.org/10.1016/0920-5632(94)90357-3.

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46

Polach, O. "Coupled single-axle running gears—a new radial steering design." Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 216, no. 3 (May 1, 2002): 197–206. http://dx.doi.org/10.1243/095440902760213620.

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New railway vehicle concepts with broader and shorter carbodies necessitate new running gear concepts. One of the possibilities, the single-axle running gear, offers several advantages. The disadvantage of the conventional single-axle running gear during curving can be counteracted with a simple coupling between the single-axle running gears of the neighbouring carbodies. This paper presents parameter analysis and design principle of the coupled single-axle running gears. They can be constructed for an almost ideal curve negotiation in a great range of curve radii. The coupling of the running gears not only improves the running characteristics in a curve but also increases the stability limit. Bombardier Transportation Winterthur has developed the coupled single-axle running gears called FEBA. The test runs with prototype as well as with serial running gears in the Norwegian commuter train Class 72 have fully confirmed the anticipated running characteristics.

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47

AGAEV, SHAHIN S., ABDULLA I. MUKHTAROV, and YEGANA V. MAMEDOVA. "MESONS DISTRIBUTION AMPLITUDES IN THE "NAIVE NON-ABELIANIZATION" APPROXIMATION AND POWER-SUPPRESSED CORRECTIONS TO FM (Q2)." Modern Physics Letters A 15, no. 22n23 (July 30, 2000): 1419–28. http://dx.doi.org/10.1142/s0217732300001912.

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Power-suppressed corrections to the light pseudoscalar (π, K) and longitudinally polarized ρ-meson electromagnetic form factors FM (Q2) are estimated by means of the running coupling constant method. In calculating the mesons distribution amplitudes (DAs) found, the "naive non-abelianization" approximation is used. Comparisons are made with FM(Q2) obtained using the "ordinary" DAs and running coupling constant method, as well as with frozen coupling approximation's results.

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48

Deltour, Charles, Bart Dingenen, Filip Staes, Kevin Deschamps, and Giovanni A. Matricali. "Preliminary Evidence That Taping Does Not Optimize Joint Coupling of the Foot and Ankle Joints in Patients with Chronic Ankle Instability." International Journal of Environmental Research and Public Health 18, no. 4 (February 19, 2021): 2029. http://dx.doi.org/10.3390/ijerph18042029.

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Background: Foot–ankle motion is affected by chronic ankle instability (CAI) in terms of altered kinematics. This study focuses on multisegmental foot–ankle motion and joint coupling in barefoot and taped CAI patients during the three subphases of stance at running. Methods: Foot segmental motion data of 12 controls and 15 CAI participants during running with a heel strike pattern were collected through gait analysis. CAI participants performed running trials in three conditions: barefoot running, and running with high-dye and low-dye taping. Dependent variables were the range of motion (RoM) occurring at the different inter-segment angles as well as the cross-correlation coefficients between predetermined segments. Results: There were no significant RoM differences for barefoot running between CAI patients and controls. In taped conditions, the first two subphases only showed RoM changes at the midfoot without apparent RoM reduction compared to the barefoot CAI condition. In the last subphase there was limited RoM reduction at the mid- and rearfoot. Cross-correlation coefficients highlighted a tendency towards weaker joint coupling in the barefoot CAI condition compared to the controls. Joint coupling within the taped CAI conditions did not show optimization compared to the barefoot CAI condition. Conclusions: RoM was not significantly changed for barefoot running between CAI patients and controls. In taped conditions, there was no distinct tendency towards lower mean RoM values due to the mechanical restraints of taping. Joint coupling in CAI patients was not optimized by taping.

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49

NESTERENKO, A. V. "INVESTIGATION OF A NEW ANALYTIC RUNNING COUPLING IN QCD." Modern Physics Letters A 15, no. 40 (December 28, 2000): 2401–11. http://dx.doi.org/10.1142/s0217732300003030.

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The mathematical properties of the new analytic running coupling (NARC) in QCD are investigated. This running coupling naturally arises under "analytization" of the renormalization group equation. One of the crucial points in our consideration is the relation established between the NARC and its inverse function. The latter is expressed in terms of the so-called Lambert W function. This relation enables one to present explicitly the NARC in the renorminvariant form and to derive the corresponding β function. The asymptotic behavior of this β function is examined. The consistent estimation of the parameter Λ QCD is given.

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50

NESTERENKO, A. V., and I. L. SOLOVTSOV. "NEW ANALYTIC RUNNING COUPLING IN QCD: HIGHER LOOP LEVELS." Modern Physics Letters A 16, no. 39 (December 21, 2001): 2517–28. http://dx.doi.org/10.1142/s0217732301005989.

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The properties of the new analytic running coupling are investigated at the higher loop levels. The expression for this invariant charge, independent of the normalization point, is obtained by invoking the asymptotic freedom condition. It is shown that at any loop level the relevant β-function has the universal behaviors at small and large values of the invariant charge. Due to this feature the new analytic running coupling possesses the universal asymptotics in both the ultraviolet and infrared regions irrespective of the loop level. The consistency of the model considered with the general definition of the QCD invariant charge is shown.

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