Renormalization Quiz with Answers

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Renormalization Online Quiz

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• Test Name: Renormalization MCQ Quiz Practice
• Type: Quiz Test
• Total Questions: 40
• Total Marks: 40
• Time: 40 minutes

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Renormalization

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1 / 40

What is the physical meaning of the renormalization group?

Calculate exact solutions

Study how physical parameters change

Describe quantum states

2 / 40

What is the main idea behind lattice QCD?

Discretize space-time for QCD calculations

Measure continuous variables

Approximate particle trajectories

3 / 40

What is meant by "renormalizable theory"?

Infinities can be systematically removed

No need for renormalization

Cannot be renormalized

4 / 40

In which dimensional space is Quantum Field Theory usually renormalized?

Three-dimensional

Four-dimensional

Two-dimensional

5 / 40

Which scientist is known for the path integral formulation related to renormalization?

Erwin Schrödinger

Paul Dirac

Richard Feynman

6 / 40

Which technique is used in renormalization to handle infinite quantities?

Normalization

Regularization

Symmetrization

7 / 40

Which is an example of a non-perturbative method in renormalization?

Lattice gauge theory

Perturbation theory

Mean-field approximation

8 / 40

What is a common method to regularize integrals in renormalization?

Fourier series

Laplace transform

Dimensional regularization

9 / 40

What is an anomalous dimension in the context of renormalization?

Irregular space-time point

Unusual particle state

Modified scaling dimension

10 / 40

Which field is primarily associated with renormalization in statistical mechanics?

Critical phenomena

Fluid dynamics

Solid state physics

11 / 40

What is a practical application of renormalization in condensed matter physics?

Analysis of crystal structures

Study of phase transitions

Measurement of thermal expansion

12 / 40

What is the main benefit of using dimensional regularization?

Increases accuracy of results

Enhances computational speed

Simplifies divergent integrals

13 / 40

What does UV stand for in the context of renormalization?

Unifying Vector

Universal Variables

Ultraviolet

14 / 40

Who formulated the renormalization group equations?

Werner Heisenberg

Niels Bohr

Kenneth Wilson

15 / 40

Which renormalization method involves integrating out high-energy modes?

Pauli-Villars

Schwinger-Dyson

Wilsonian

16 / 40

What is the "running coupling constant"?

Energy-dependent coupling

Position-dependent coupling

Time-independent coupling

17 / 40

What does the beta function describe in renormalization group theory?

Running of coupling constants

Particle masses

Interaction ranges

18 / 40

What is the fixed point in renormalization group theory?

A scale where parameters don't change

A random point in space-time

A point of divergence

19 / 40

What is an asymptotically free theory?

Coupling decreases at high energies

Coupling increases at high energies

Coupling is constant

20 / 40

In which theory is renormalization primarily used?

Quantum Field Theory

Statistical Mechanics

Classical Mechanics

21 / 40

What does the term "operator product expansion" (OPE) describe?

Intermediate-range behavior

Short-distance behavior of operators

Long-distance interactions

22 / 40

What is the primary goal of renormalization in quantum field theory?

Introduce anomalies

Remove infinities

Discretize space-time

23 / 40

Who shared the Nobel Prize with Kenneth Wilson for contributions to renormalization?

Steven Weinberg

No one

Julian Schwinger

24 / 40

What is the renormalization group (RG) transformation?

Rescaling of parameters

Change of particle identity

Shifting of energy levels

25 / 40

What is the role of the renormalization scale parameter?

Determine particle speed

Calculate wave functions

Set scale for physical processes

26 / 40

What is the Landau pole?

Energy where coupling constant diverges

A point of zero interaction

A stable energy level

27 / 40

What does IR stand for in renormalization terminology?

Intermediate Range

Initial Reference

Infrared

28 / 40

What is the renormalization group flow?

Trajectory of parameters under renormalization

Random walk in space

Time evolution of wave functions

29 / 40

What is the concept of "effective field theory"?

Exact solution of equations

High-energy limit

Low-energy approximation

30 / 40

What does the Gell-Mann–Low equation describe?

Wave function collapse

Evolution of coupling constants

Particle decay rates

31 / 40

Which phenomenon in quantum field theory is associated with asymptotic freedom?

QCD (Quantum Chromodynamics)

QED (Quantum Electrodynamics)

General Relativity

32 / 40

What is an example of a renormalization scheme?

Renormalized subtraction

Augmented subtraction

Minimal subtraction

33 / 40

What role do dimensional regularization techniques play in renormalization?

Handle divergences in integrals

Measure particle sizes

Increase dimensions

34 / 40

What does the term "bare coupling" refer to in renormalization?

Original, unrenormalized coupling

Zero coupling limit

Measured physical coupling

35 / 40

Who introduced the concept of renormalization?

Hans Kramers and Norman Mott

Richard Feynman

Albert Einstein

36 / 40

What is a lattice in the context of lattice gauge theory?

Energy level spectrum

Continuous space

Discrete space-time structure

37 / 40

What is the primary focus of the Callan-Symanzik equation?

Wave-particle duality

Scale dependence of Green's functions

Particle trajectories

38 / 40

Which of the following is a non-renormalizable interaction?

Weak interaction

Gravity

Electromagnetism

39 / 40

What is the purpose of a counterterm in renormalization?

Define boundary conditions

Introduce symmetry

Cancel infinities

40 / 40

What is the purpose of the renormalization constant?

Relate bare and renormalized quantities

Adjust coordinate systems

Measure physical observables

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