Solutions of the callan-symanzik equation in a complex neighborhood of zero coupling

1975 ◽  
Vol 12 (8) ◽  
pp. 2298-2310 ◽  
Author(s):  
N. N. Khuri
Keyword(s):  
Complex Neighborhood ◽  
Zero Coupling

scholarly journals Type Synthesis of 1T2R Parallel Mechanisms Using Structure Coupling-Reducing Method

2019 ◽  
Vol 32 (1) ◽  
Author(s):  
Haitao Liu ◽  
Ke Xu ◽  
Huiping Shen ◽  
Xianlei Shan ◽  
Tingli Yang
Keyword(s):  
Explicit Form ◽  
Parallel Mechanism ◽  
Analytic Solutions ◽  
Forward Kinematics ◽  
Parallel Mechanisms ◽  
Type Synthesis ◽  
Real Time Control ◽  
Time Control ◽  
Topological Characteristics ◽  
Zero Coupling

Abstract Direct kinematics with analytic solutions is critical to the real-time control of parallel mechanisms. Therefore, the type synthesis of a mechanism having explicit form of forward kinematics has become a topic of interest. Based on this purpose, this paper deals with the type synthesis of 1T2R parallel mechanisms by investigating the topological structure coupling-reducing of the 3UPS&UP parallel mechanism. With the aid of the theory of mechanism topology, the analysis of the topological characteristics of the 3UPS&UP parallel mechanism is presented, which shows that there are highly coupled motions and constraints amongst the limbs of the mechanism. Three methods for structure coupling-reducing of the 3UPS&UP parallel mechanism are proposed, resulting in eight new types of 1T2R parallel mechanisms with one or zero coupling degree. One obtained parallel mechanism is taken as an example to demonstrate that a mechanism with zero coupling degree has an explicit form for forward kinematics. The process of type synthesis is in the order of permutation and combination; therefore, there are no omissions. This method is also applicable to other configurations, and novel topological structures having simple forward kinematics can be obtained from an original mechanism via this method.

Improving Force Control using Zero Coupling Impedance Criterion in Series Manipulator Systems

2013 ◽  
Vol 46 (5) ◽  
pp. 549-554 ◽  
Author(s):  
Renjun Li ◽  
Ngoc Dung Vuong ◽  
Chee-Meng Chew ◽  
Chee Wang Lim
Keyword(s):  
Force Control ◽  
Coupling Impedance ◽  
In Series ◽  
Zero Coupling

scholarly journals Topological Design of an Asymmetric 3-Translational Parallel Mechanism With Zero Coupling Degree and Motion Decoupling

2018 ◽  
Author(s):  
Huiping Shen ◽  
Chengqi Wu ◽  
Damien Chablat ◽  
Guanglei Wu ◽  
Ting-li Yang
Keyword(s):  
Parallel Mechanism ◽  
Design Theory ◽  
Analytical Formula ◽  
Inverse Kinematic ◽  
Topology Design ◽  
Kinematic Chains ◽  
Topological Design ◽  
Decoupled Motion ◽  
Topological Characteristics ◽  
Zero Coupling

In this paper a new asymmetric 3-translational (3T) parallel manipulator, i.e., RPa(3R) 2R+RPa, with zero coupling degree and decoupled motion is firstly proposed according to topology design theory of parallel mechanism (PM) based on position and orientation characteristics (POC) equations. The main topological characteristics such as POC, degree of freedom and coupling degree are calculated. Then, the analytical formula for the direct and inverse kinematic are directly derived since coupling degree of the PM is zero. The study of singular configurations is simple because of the independence of the kinematic chains.

Effective Dipole-Radiation-Field Theory: III. Three-Dimensional Oscillator

1998 ◽  
Vol 12 (09) ◽  
pp. 965-987
Author(s):  
H. Dekker
Keyword(s):  
Three Dimensional ◽  
Normal Modes ◽  
Dipole Model ◽  
Statistical Linearization ◽  
Ultraviolet Divergence ◽  
The Novel ◽  
Mass Renormalization ◽  
Effective Equation ◽  
Highly Nonlinear ◽  
Zero Coupling

The novel analysis of the interaction between a harmonically bound, nonrelativistic "isotropic point" charge and the electromagnetic field as presented in paper I [Int. J. Mod. Phys.B8, 2307 (1994)] and II [Int. J. Mod. Phys.B10, 1211 (1996)], is finally extended to the case of a three-dimensional oscillator. The coupling between the electron and the field is treated through all orders beyond the standard dipole model. After a statistical linearization of the highly nonlinear dynamics, the problem is solved exactly in terms of the system's normal modes. The procedure intrinsically involves a generalized mass renormalization. The solution is free of runaway modes. The quantum mechanical ultraviolet divergence known from the standard dipole model is shown to be suppressed by the generalized coupling. Inter alia an effective equation of motion for the charge is derived. It is also shown that the zero-coupling and the infinite-system limits do not commute.

scholarly journals Symmergent Gravity, Seesawic New Physics, and Their Experimental Signatures

2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Durmuş Demir
Keyword(s):  
Dark Matter ◽  
Gamma Rays ◽  
Planck Scale ◽  
New Physics ◽  
Fine Tuning ◽  
Dark Matter Candidate ◽  
Uv Sensitivity ◽  
Gauge Symmetries ◽  
The Standard Model ◽  
Zero Coupling

The standard model of elementary particles (SM) suffers from various problems, such as power-law ultraviolet (UV) sensitivity, exclusion of general relativity (GR), and absence of a dark matter candidate. The LHC experiments, according to which the TeV domain appears to be empty of new particles, started sidelining TeV-scale SUSY and other known cures of the UV sensitivity. In search for a remedy, in this work, it is revealed that affine curvature can emerge in a way restoring gauge symmetries explicitly broken by the UV cutoff. This emergent curvature cures the UV sensitivity and incorporates GR as symmetry-restoring emergent gravity (symmergent gravity, in brief) if a new physics sector (NP) exists to generate the Planck scale and if SM+NP is Fermi-Bose balanced. This setup, carrying fingerprints of trans-Planckian SUSY, predicts that gravity is Einstein (no higher-curvature terms), cosmic/gamma rays can originate from heavy NP scalars, and the UV cutoff might take right value to suppress the cosmological constant (alleviating fine-tuning with SUSY). The NP does not have to couple to the SM. In fact, NP-SM coupling can take any value from zero to ΛSM2/ΛNP2 if the SM is not to jump from ΛSM≈500  GeV to the NP scale ΛNP. The zero coupling, certifying an undetectable NP, agrees with all the collider and dark matter bounds at present. The seesawic bound ΛSM2/ΛNP2, directly verifiable at colliders, implies that (i) dark matter must have a mass ≲ΛSM, (ii) Higgs-curvature coupling must be ≈1.3%, (iii) the SM RGEs must remain nearly as in the SM, and (iv) right-handed neutrinos must have a mass ≲1000  TeV. These signatures serve as a concise testbed for symmergence.

scholarly journals A vector loci method of treating coupled circuits

1928 ◽  
Vol 117 (777) ◽  
pp. 331-350 ◽  
Keyword(s):  
Electromotive Force ◽  
Complex Impedance ◽  
Variable Frequency ◽  
Constant Amplitude ◽  
Minimum Value ◽  
Maximum Value ◽  
Straight Line ◽  
Family Of Curves ◽  
Coupled Circuits ◽  
Zero Coupling

If in the first of two coupled circuits an electromotive force of constant amplitude and variable frequency is introduced, the currents in the primary and secondary respectively may be written i 1 = e /Z' and i 2 = e /Z" where Z' and Z" are complex impedance operators. The loci of these impedances ω as to is varied have definite geometrical forms. Z" is a parabola and Z' a cissoid family. If a parabola if y 2 = (— x ) p where p depends only on the inductances and resistances of the two circuits is drawn, and a pole O is taken a certain distance to the left of the vertex a , then OP represents the impedance Z" to a certain scale. The greater the coupling between the two circuits the longer is O a . As ω increases from a small value, P, starting on the lower arm of the parabola far to the left, moves counter clockwise round the parabola. If O is near a there will be a single minimum value of OP, and a single maximum value of the current i 2 . But if the coupling and therefore O a is larger, there will be two minimum values separated by a maximum value, corresponding to the well-known double hump i 2 /ω curve. The locus of Z' is the cissoid family of curves. The straight line of zero coupling bulges at the axis as the coupling is increased, and develops a loop as the coupling is still further increased. Here again a double minimum impedance appears, corresponding to the double hump resonance curves.

Solutions of the einstein equations with zero coupling. II

1971 ◽  
Vol 14 (11) ◽  
pp. 1514-1520
Author(s):  
I. M. Dozmorov
Keyword(s):  
Einstein Equations ◽  
Zero Coupling
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